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Finding the Fourth Proportional to 748.38, 1,121.96 and 337.62

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Solution

The fourth proportional to 748.38, 1,121.96 and 337.62 is: 506.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    748.38 : 1,121.96 = 337.62 : x
  2. Step 2: Convert to fraction form
    748.38/1,121.96 = 337.62/x
  3. Step 3: Cross multiply
    748.38x = 1,121.96 × 337.62
  4. Step 4: Simplify right side
    748.38x = 378,796.14
  5. Step 5: Solve for x
    x = 378,796.14/748.38
  6. Step 6: Final answer
    x = 506.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.