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Finding the Fourth Proportional to 757.60, 1,045.28 and 447.04

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Solution

The fourth proportional to 757.60, 1,045.28 and 447.04 is: 616.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    757.60 : 1,045.28 = 447.04 : x
  2. Step 2: Convert to fraction form
    757.60/1,045.28 = 447.04/x
  3. Step 3: Cross multiply
    757.60x = 1,045.28 × 447.04
  4. Step 4: Simplify right side
    757.60x = 467,281.97
  5. Step 5: Solve for x
    x = 467,281.97/757.60
  6. Step 6: Final answer
    x = 616.79

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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.