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Finding the Fourth Proportional to 521.82, 782.12 and 261.68

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Solution

The fourth proportional to 521.82, 782.12 and 261.68 is: 392.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    521.82 : 782.12 = 261.68 : x
  2. Step 2: Convert to fraction form
    521.82/782.12 = 261.68/x
  3. Step 3: Cross multiply
    521.82x = 782.12 × 261.68
  4. Step 4: Simplify right side
    521.82x = 204,665.16
  5. Step 5: Solve for x
    x = 204,665.16/521.82
  6. Step 6: Final answer
    x = 392.21

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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.