Home / 431.57-646.77-309.56

Finding the Fourth Proportional to 431.57, 646.77 and 309.56

Calculator

Solution

The fourth proportional to 431.57, 646.77 and 309.56 is: 463.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    431.57 : 646.77 = 309.56 : x
  2. Step 2: Convert to fraction form
    431.57/646.77 = 309.56/x
  3. Step 3: Cross multiply
    431.57x = 646.77 × 309.56
  4. Step 4: Simplify right side
    431.57x = 200,214.12
  5. Step 5: Solve for x
    x = 200,214.12/431.57
  6. Step 6: Final answer
    x = 463.92

Related Problems

Find fourth proportional to 215.79, 323.39 and 154.78
Half scale
Find fourth proportional to 863.14, 1,293.54 and 619.12
Double scale
Find fourth proportional to 432.57, 648.27 and 310.56
Similar ratio
Find fourth proportional to 647.36, 970.16 and 464.34
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.