diff --git a/modules/juce_graphics/geometry/juce_AffineTransform.cpp b/modules/juce_graphics/geometry/juce_AffineTransform.cpp
index 3d9369291c..7f1b9aaed1 100644
--- a/modules/juce_graphics/geometry/juce_AffineTransform.cpp
+++ b/modules/juce_graphics/geometry/juce_AffineTransform.cpp
@@ -152,6 +152,12 @@ AffineTransform AffineTransform::scaled (const float factorX, const float factor
                             factorY * mat10, factorY * mat11, factorY * mat12);
 }
 
+AffineTransform AffineTransform::scaled (const float factor) const noexcept
+{
+    return AffineTransform (factor * mat00, factor * mat01, factor * mat02,
+                            factor * mat10, factor * mat11, factor * mat12);
+}
+
 AffineTransform AffineTransform::scale (const float factorX, const float factorY) noexcept
 {
     return AffineTransform (factorX, 0, 0, 0, factorY, 0);
diff --git a/modules/juce_graphics/geometry/juce_AffineTransform.h b/modules/juce_graphics/geometry/juce_AffineTransform.h
index 400e7613f8..70937aeb81 100644
--- a/modules/juce_graphics/geometry/juce_AffineTransform.h
+++ b/modules/juce_graphics/geometry/juce_AffineTransform.h
@@ -165,6 +165,11 @@ public:
     AffineTransform scaled (float factorX,
                             float factorY) const noexcept;
 
+    /** Returns a transform which is the same as this one followed by a re-scaling.
+        The scaling is centred around the origin (0, 0).
+    */
+    AffineTransform scaled (float factor) const noexcept;
+
     /** Returns a transform which is the same as this one followed by a re-scaling.
         The scaling is centred around the origin provided.
     */
diff --git a/modules/juce_graphics/geometry/juce_Rectangle.h b/modules/juce_graphics/geometry/juce_Rectangle.h
index c7332939a6..2ebaf4979b 100644
--- a/modules/juce_graphics/geometry/juce_Rectangle.h
+++ b/modules/juce_graphics/geometry/juce_Rectangle.h
@@ -304,9 +304,10 @@ public:
     template <typename FloatType>
     Rectangle operator*= (FloatType scaleFactor) noexcept
     {
-        pos *= scaleFactor;
-        w = (ValueType) (w * scaleFactor);
-        h = (ValueType) (h * scaleFactor);
+        Rectangle<FloatType> (pos.x * scaleFactor,
+                              pos.y * scaleFactor,
+                              w * scaleFactor,
+                              h * scaleFactor).copyWithRounding (*this);
         return *this;
     }