Calculating Wavelength for Diffraction Grating Problem

[kraphysics]

Homework Statement

Light with a wavelength of 475 nm produces a first order maximum 0.214 m from the central bright line for a particular diffraction apparatus. At what distance would you expect a maximum using light of 625 nm?

The Attempt at a Solution

I am confused. For some reason my intuition tells me to do this:

(475 * 10^9 m)/ 0.214 m = (625 * 10^-9 m) / x

I get 0.282 m. Is this right?
I don't know of any other way of doing this because none of the formulas make sense. There isn't enough information.

 

[SammyS]

It seems reasonable and there isn't much info. given.