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Finding the Fourth Proportional to 463.04, 638.40 and 375.52

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Solution

The fourth proportional to 463.04, 638.40 and 375.52 is: 517.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.04 : 638.40 = 375.52 : x
  2. Step 2: Convert to fraction form
    463.04/638.40 = 375.52/x
  3. Step 3: Cross multiply
    463.04x = 638.40 × 375.52
  4. Step 4: Simplify right side
    463.04x = 239,731.97
  5. Step 5: Solve for x
    x = 239,731.97/463.04
  6. Step 6: Final answer
    x = 517.73

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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.