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Finding the Fourth Proportional to 1,691.67, 2,537.01 and 521.31

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Solution

The fourth proportional to 1,691.67, 2,537.01 and 521.31 is: 781.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,691.67 : 2,537.01 = 521.31 : x
  2. Step 2: Convert to fraction form
    1,691.67/2,537.01 = 521.31/x
  3. Step 3: Cross multiply
    1,691.67x = 2,537.01 × 521.31
  4. Step 4: Simplify right side
    1,691.67x = 1,322,568.68
  5. Step 5: Solve for x
    x = 1,322,568.68/1,691.67
  6. Step 6: Final answer
    x = 781.81

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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.