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Finding the Fourth Proportional to 1,691.03, 2,537.03 and 998.33

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Solution

The fourth proportional to 1,691.03, 2,537.03 and 998.33 is: 1,497.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,691.03 : 2,537.03 = 998.33 : x
  2. Step 2: Convert to fraction form
    1,691.03/2,537.03 = 998.33/x
  3. Step 3: Cross multiply
    1,691.03x = 2,537.03 × 998.33
  4. Step 4: Simplify right side
    1,691.03x = 2,532,793.16
  5. Step 5: Solve for x
    x = 2,532,793.16/1,691.03
  6. Step 6: Final answer
    x = 1,497.78

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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.