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Finding the Fourth Proportional to 1,540.11, 2,309.22 and 614.61

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Solution

The fourth proportional to 1,540.11, 2,309.22 and 614.61 is: 921.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,540.11 : 2,309.22 = 614.61 : x
  2. Step 2: Convert to fraction form
    1,540.11/2,309.22 = 614.61/x
  3. Step 3: Cross multiply
    1,540.11x = 2,309.22 × 614.61
  4. Step 4: Simplify right side
    1,540.11x = 1,419,269.70
  5. Step 5: Solve for x
    x = 1,419,269.70/1,540.11
  6. Step 6: Final answer
    x = 921.54

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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.