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Finding the Fourth Proportional to 516.31, 773.71 and 473.89

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Solution

The fourth proportional to 516.31, 773.71 and 473.89 is: 710.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.31 : 773.71 = 473.89 : x
  2. Step 2: Convert to fraction form
    516.31/773.71 = 473.89/x
  3. Step 3: Cross multiply
    516.31x = 773.71 × 473.89
  4. Step 4: Simplify right side
    516.31x = 366,653.43
  5. Step 5: Solve for x
    x = 366,653.43/516.31
  6. Step 6: Final answer
    x = 710.14

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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.