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Finding the Fourth Proportional to 1,391.38, 2,086.28 and 732.57

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Solution

The fourth proportional to 1,391.38, 2,086.28 and 732.57 is: 1,098.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,391.38 : 2,086.28 = 732.57 : x
  2. Step 2: Convert to fraction form
    1,391.38/2,086.28 = 732.57/x
  3. Step 3: Cross multiply
    1,391.38x = 2,086.28 × 732.57
  4. Step 4: Simplify right side
    1,391.38x = 1,528,345.33
  5. Step 5: Solve for x
    x = 1,528,345.33/1,391.38
  6. Step 6: Final answer
    x = 1,098.44

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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.