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Finding the Fourth Proportional to 748.20, 1,121.61 and 382.19

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Solution

The fourth proportional to 748.20, 1,121.61 and 382.19 is: 572.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    748.20 : 1,121.61 = 382.19 : x
  2. Step 2: Convert to fraction form
    748.20/1,121.61 = 382.19/x
  3. Step 3: Cross multiply
    748.20x = 1,121.61 × 382.19
  4. Step 4: Simplify right side
    748.20x = 428,663.95
  5. Step 5: Solve for x
    x = 428,663.95/748.20
  6. Step 6: Final answer
    x = 572.92

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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.