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Finding the Fourth Proportional to 520.22, 715.80 and 507.92

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Solution

The fourth proportional to 520.22, 715.80 and 507.92 is: 698.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    520.22 : 715.80 = 507.92 : x
  2. Step 2: Convert to fraction form
    520.22/715.80 = 507.92/x
  3. Step 3: Cross multiply
    520.22x = 715.80 × 507.92
  4. Step 4: Simplify right side
    520.22x = 363,565.56
  5. Step 5: Solve for x
    x = 363,565.56/520.22
  6. Step 6: Final answer
    x = 698.88

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.