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Finding the Fourth Proportional to 500.98, 691.42 and 487.82

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Solution

The fourth proportional to 500.98, 691.42 and 487.82 is: 673.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    500.98 : 691.42 = 487.82 : x
  2. Step 2: Convert to fraction form
    500.98/691.42 = 487.82/x
  3. Step 3: Cross multiply
    500.98x = 691.42 × 487.82
  4. Step 4: Simplify right side
    500.98x = 337,288.50
  5. Step 5: Solve for x
    x = 337,288.50/500.98
  6. Step 6: Final answer
    x = 673.26

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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.