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Finding the Fourth Proportional to 521.54, 718.17 and 447.74

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Solution

The fourth proportional to 521.54, 718.17 and 447.74 is: 616.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    521.54 : 718.17 = 447.74 : x
  2. Step 2: Convert to fraction form
    521.54/718.17 = 447.74/x
  3. Step 3: Cross multiply
    521.54x = 718.17 × 447.74
  4. Step 4: Simplify right side
    521.54x = 321,553.44
  5. Step 5: Solve for x
    x = 321,553.44/521.54
  6. Step 6: Final answer
    x = 616.55

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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.