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Finding the Fourth Proportional to 521.82, 782.17 and 261.41

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Solution

The fourth proportional to 521.82, 782.17 and 261.41 is: 391.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    521.82 : 782.17 = 261.41 : x
  2. Step 2: Convert to fraction form
    521.82/782.17 = 261.41/x
  3. Step 3: Cross multiply
    521.82x = 782.17 × 261.41
  4. Step 4: Simplify right side
    521.82x = 204,463.97
  5. Step 5: Solve for x
    x = 204,463.97/521.82
  6. Step 6: Final answer
    x = 391.83

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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.