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Finding the Fourth Proportional to 521.38, 781.78 and 174.53

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Solution

The fourth proportional to 521.38, 781.78 and 174.53 is: 261.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    521.38 : 781.78 = 174.53 : x
  2. Step 2: Convert to fraction form
    521.38/781.78 = 174.53/x
  3. Step 3: Cross multiply
    521.38x = 781.78 × 174.53
  4. Step 4: Simplify right side
    521.38x = 136,444.06
  5. Step 5: Solve for x
    x = 136,444.06/521.38
  6. Step 6: Final answer
    x = 261.70

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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.