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Finding the Fourth Proportional to 524.76, 781.32 and 516.96

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Solution

The fourth proportional to 524.76, 781.32 and 516.96 is: 769.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.76 : 781.32 = 516.96 : x
  2. Step 2: Convert to fraction form
    524.76/781.32 = 516.96/x
  3. Step 3: Cross multiply
    524.76x = 781.32 × 516.96
  4. Step 4: Simplify right side
    524.76x = 403,911.19
  5. Step 5: Solve for x
    x = 403,911.19/524.76
  6. Step 6: Final answer
    x = 769.71

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.