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Finding the Fourth Proportional to 462.89, 638.04 and 363.14

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Solution

The fourth proportional to 462.89, 638.04 and 363.14 is: 500.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.89 : 638.04 = 363.14 : x
  2. Step 2: Convert to fraction form
    462.89/638.04 = 363.14/x
  3. Step 3: Cross multiply
    462.89x = 638.04 × 363.14
  4. Step 4: Simplify right side
    462.89x = 231,697.85
  5. Step 5: Solve for x
    x = 231,697.85/462.89
  6. Step 6: Final answer
    x = 500.55

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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.