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Finding the Fourth Proportional to 516.88, 781.18 and 507.92

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Solution

The fourth proportional to 516.88, 781.18 and 507.92 is: 767.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.88 : 781.18 = 507.92 : x
  2. Step 2: Convert to fraction form
    516.88/781.18 = 507.92/x
  3. Step 3: Cross multiply
    516.88x = 781.18 × 507.92
  4. Step 4: Simplify right side
    516.88x = 396,776.95
  5. Step 5: Solve for x
    x = 396,776.95/516.88
  6. Step 6: Final answer
    x = 767.64

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.