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Finding the Fourth Proportional to 1,494.97, 2,062.87 and 831.73

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Solution

The fourth proportional to 1,494.97, 2,062.87 and 831.73 is: 1,147.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,494.97 : 2,062.87 = 831.73 : x
  2. Step 2: Convert to fraction form
    1,494.97/2,062.87 = 831.73/x
  3. Step 3: Cross multiply
    1,494.97x = 2,062.87 × 831.73
  4. Step 4: Simplify right side
    1,494.97x = 1,715,750.87
  5. Step 5: Solve for x
    x = 1,715,750.87/1,494.97
  6. Step 6: Final answer
    x = 1,147.68

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.