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Finding the Fourth Proportional to 521.75, 781.67 and 261.46

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Solution

The fourth proportional to 521.75, 781.67 and 261.46 is: 391.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    521.75 : 781.67 = 261.46 : x
  2. Step 2: Convert to fraction form
    521.75/781.67 = 261.46/x
  3. Step 3: Cross multiply
    521.75x = 781.67 × 261.46
  4. Step 4: Simplify right side
    521.75x = 204,370.22
  5. Step 5: Solve for x
    x = 204,370.22/521.75
  6. Step 6: Final answer
    x = 391.70

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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.