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Finding the Fourth Proportional to 1,331.59, 1,836.92 and 800.21

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Solution

The fourth proportional to 1,331.59, 1,836.92 and 800.21 is: 1,103.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,331.59 : 1,836.92 = 800.21 : x
  2. Step 2: Convert to fraction form
    1,331.59/1,836.92 = 800.21/x
  3. Step 3: Cross multiply
    1,331.59x = 1,836.92 × 800.21
  4. Step 4: Simplify right side
    1,331.59x = 1,469,921.75
  5. Step 5: Solve for x
    x = 1,469,921.75/1,331.59
  6. Step 6: Final answer
    x = 1,103.88

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.