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Finding the Fourth Proportional to 1,553.75, 2,331.35 and 869.75

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Solution

The fourth proportional to 1,553.75, 2,331.35 and 869.75 is: 1,305.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,553.75 : 2,331.35 = 869.75 : x
  2. Step 2: Convert to fraction form
    1,553.75/2,331.35 = 869.75/x
  3. Step 3: Cross multiply
    1,553.75x = 2,331.35 × 869.75
  4. Step 4: Simplify right side
    1,553.75x = 2,027,691.66
  5. Step 5: Solve for x
    x = 2,027,691.66/1,553.75
  6. Step 6: Final answer
    x = 1,305.03

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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.