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Finding the Fourth Proportional to 1,098.70, 1,641.37 and 837.97

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Solution

The fourth proportional to 1,098.70, 1,641.37 and 837.97 is: 1,251.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,098.70 : 1,641.37 = 837.97 : x
  2. Step 2: Convert to fraction form
    1,098.70/1,641.37 = 837.97/x
  3. Step 3: Cross multiply
    1,098.70x = 1,641.37 × 837.97
  4. Step 4: Simplify right side
    1,098.70x = 1,375,418.82
  5. Step 5: Solve for x
    x = 1,375,418.82/1,098.70
  6. Step 6: Final answer
    x = 1,251.86

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.