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Finding the Fourth Proportional to 2,301.87, 3,452.29 and 658.38

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Solution

The fourth proportional to 2,301.87, 3,452.29 and 658.38 is: 987.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,301.87 : 3,452.29 = 658.38 : x
  2. Step 2: Convert to fraction form
    2,301.87/3,452.29 = 658.38/x
  3. Step 3: Cross multiply
    2,301.87x = 3,452.29 × 658.38
  4. Step 4: Simplify right side
    2,301.87x = 2,272,918.69
  5. Step 5: Solve for x
    x = 2,272,918.69/2,301.87
  6. Step 6: Final answer
    x = 987.42

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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.