Home / 472.09-708.27-431.38

Finding the Fourth Proportional to 472.09, 708.27 and 431.38

Calculator

Solution

The fourth proportional to 472.09, 708.27 and 431.38 is: 647.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    472.09 : 708.27 = 431.38 : x
  2. Step 2: Convert to fraction form
    472.09/708.27 = 431.38/x
  3. Step 3: Cross multiply
    472.09x = 708.27 × 431.38
  4. Step 4: Simplify right side
    472.09x = 305,533.51
  5. Step 5: Solve for x
    x = 305,533.51/472.09
  6. Step 6: Final answer
    x = 647.19

Related Problems

Find fourth proportional to 236.05, 354.14 and 215.69
Half scale
Find fourth proportional to 944.18, 1,416.54 and 862.76
Double scale
Find fourth proportional to 473.09, 709.77 and 432.38
Similar ratio
Find fourth proportional to 708.14, 1,062.41 and 647.07
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.