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Finding the Fourth Proportional to 500.96, 691.61 and 461.43

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Solution

The fourth proportional to 500.96, 691.61 and 461.43 is: 637.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    500.96 : 691.61 = 461.43 : x
  2. Step 2: Convert to fraction form
    500.96/691.61 = 461.43/x
  3. Step 3: Cross multiply
    500.96x = 691.61 × 461.43
  4. Step 4: Simplify right side
    500.96x = 319,127.30
  5. Step 5: Solve for x
    x = 319,127.30/500.96
  6. Step 6: Final answer
    x = 637.03

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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.