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Finding the Fourth Proportional to 516.52, 773.42 and 284.32

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Solution

The fourth proportional to 516.52, 773.42 and 284.32 is: 425.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.52 : 773.42 = 284.32 : x
  2. Step 2: Convert to fraction form
    516.52/773.42 = 284.32/x
  3. Step 3: Cross multiply
    516.52x = 773.42 × 284.32
  4. Step 4: Simplify right side
    516.52x = 219,898.77
  5. Step 5: Solve for x
    x = 219,898.77/516.52
  6. Step 6: Final answer
    x = 425.73

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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.