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Finding the Fourth Proportional to 1,091.31, 1,635.52 and 512.97

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Solution

The fourth proportional to 1,091.31, 1,635.52 and 512.97 is: 768.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,091.31 : 1,635.52 = 512.97 : x
  2. Step 2: Convert to fraction form
    1,091.31/1,635.52 = 512.97/x
  3. Step 3: Cross multiply
    1,091.31x = 1,635.52 × 512.97
  4. Step 4: Simplify right side
    1,091.31x = 838,972.69
  5. Step 5: Solve for x
    x = 838,972.69/1,091.31
  6. Step 6: Final answer
    x = 768.78

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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.