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Finding the Fourth Proportional to 447.92, 674.54 and 397.04

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Solution

The fourth proportional to 447.92, 674.54 and 397.04 is: 597.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    447.92 : 674.54 = 397.04 : x
  2. Step 2: Convert to fraction form
    447.92/674.54 = 397.04/x
  3. Step 3: Cross multiply
    447.92x = 674.54 × 397.04
  4. Step 4: Simplify right side
    447.92x = 267,819.36
  5. Step 5: Solve for x
    x = 267,819.36/447.92
  6. Step 6: Final answer
    x = 597.92

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.