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Finding the Fourth Proportional to 748.73, 1,123.22 and 402.44

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Solution

The fourth proportional to 748.73, 1,123.22 and 402.44 is: 603.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    748.73 : 1,123.22 = 402.44 : x
  2. Step 2: Convert to fraction form
    748.73/1,123.22 = 402.44/x
  3. Step 3: Cross multiply
    748.73x = 1,123.22 × 402.44
  4. Step 4: Simplify right side
    748.73x = 452,024.05
  5. Step 5: Solve for x
    x = 452,024.05/748.73
  6. Step 6: Final answer
    x = 603.72

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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.