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Finding the Fourth Proportional to 463.50, 638.37 and 431.21

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Solution

The fourth proportional to 463.50, 638.37 and 431.21 is: 593.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.50 : 638.37 = 431.21 : x
  2. Step 2: Convert to fraction form
    463.50/638.37 = 431.21/x
  3. Step 3: Cross multiply
    463.50x = 638.37 × 431.21
  4. Step 4: Simplify right side
    463.50x = 275,273.12
  5. Step 5: Solve for x
    x = 275,273.12/463.50
  6. Step 6: Final answer
    x = 593.90

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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.