Home / 523.71-784.35-431.78

Finding the Fourth Proportional to 523.71, 784.35 and 431.78

Calculator

Solution

The fourth proportional to 523.71, 784.35 and 431.78 is: 646.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.71 : 784.35 = 431.78 : x
  2. Step 2: Convert to fraction form
    523.71/784.35 = 431.78/x
  3. Step 3: Cross multiply
    523.71x = 784.35 × 431.78
  4. Step 4: Simplify right side
    523.71x = 338,662.72
  5. Step 5: Solve for x
    x = 338,662.72/523.71
  6. Step 6: Final answer
    x = 646.66

Related Problems

Find fourth proportional to 261.86, 392.18 and 215.89
Half scale
Find fourth proportional to 1,047.42, 1,568.70 and 863.55
Double scale
Find fourth proportional to 524.71, 785.85 and 432.78
Similar ratio
Find fourth proportional to 785.57, 1,176.53 and 647.66
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.