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Finding the Fourth Proportional to 748.23, 1,120.61 and 439.47

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Solution

The fourth proportional to 748.23, 1,120.61 and 439.47 is: 658.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    748.23 : 1,120.61 = 439.47 : x
  2. Step 2: Convert to fraction form
    748.23/1,120.61 = 439.47/x
  3. Step 3: Cross multiply
    748.23x = 1,120.61 × 439.47
  4. Step 4: Simplify right side
    748.23x = 492,472.28
  5. Step 5: Solve for x
    x = 492,472.28/748.23
  6. Step 6: Final answer
    x = 658.18

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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.