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Finding the Fourth Proportional to 1,691.38, 2,537.07 and 665.38

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Solution

The fourth proportional to 1,691.38, 2,537.07 and 665.38 is: 998.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,691.38 : 2,537.07 = 665.38 : x
  2. Step 2: Convert to fraction form
    1,691.38/2,537.07 = 665.38/x
  3. Step 3: Cross multiply
    1,691.38x = 2,537.07 × 665.38
  4. Step 4: Simplify right side
    1,691.38x = 1,688,101.29
  5. Step 5: Solve for x
    x = 1,688,101.29/1,691.38
  6. Step 6: Final answer
    x = 998.06

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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.