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Finding the Fourth Proportional to 631.91, 946.65 and 516.49

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Solution

The fourth proportional to 631.91, 946.65 and 516.49 is: 773.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    631.91 : 946.65 = 516.49 : x
  2. Step 2: Convert to fraction form
    631.91/946.65 = 516.49/x
  3. Step 3: Cross multiply
    631.91x = 946.65 × 516.49
  4. Step 4: Simplify right side
    631.91x = 488,930.53
  5. Step 5: Solve for x
    x = 488,930.53/631.91
  6. Step 6: Final answer
    x = 773.73

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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.