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Finding the Fourth Proportional to 518.38, 713.27 and 500.42

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Solution

The fourth proportional to 518.38, 713.27 and 500.42 is: 688.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    518.38 : 713.27 = 500.42 : x
  2. Step 2: Convert to fraction form
    518.38/713.27 = 500.42/x
  3. Step 3: Cross multiply
    518.38x = 713.27 × 500.42
  4. Step 4: Simplify right side
    518.38x = 356,932.07
  5. Step 5: Solve for x
    x = 356,932.07/518.38
  6. Step 6: Final answer
    x = 688.56

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.