Conforming New Edge Loops On a Curved Mesh to the Curve

Question

Let's say I have a curved mesh and I add a loop cut:

The new loop cut does not touch the curve as the others do.

My question is, is there a tool/addon for achieving the following result in a more precise manner than just translating the loop cut by eye:

This is a simple example, but I'm hoping to apply it to more complicated meshes.

Thanks.

Answer 1

Select the curve object. Key Alt + C to open the Convert to menu and choose Mesh from Curve/Meta/Surf/Text or key 2. Key T to toggle open/close the Toolshelf. Check Keep Original in the Convert to dropdown. This adds a new mesh object, rather than converting the curve. This is useful because if you decide to change the curve later, you still can, without having to convert back to a curve, edit, and return to a mesh.

Select the object that you were loop cutting. Tab into Edit Mode. Key Ctrl + R to add a loopcut, position it where you like, LMB to confirm, and immediately RMB.
Key Ctrl + [comma] to change to Pivot point > Median point. Choose Transform Orientation > Normal. Enable Snapping and change the settings to Edge > Closest. Your 3D Viewport's bottom bar should now have these settings:

Drag on the green arrow until the loop cut snaps.