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Finding the Fourth Proportional to 831.97, 1,248.45 and 369.78

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Solution

The fourth proportional to 831.97, 1,248.45 and 369.78 is: 554.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    831.97 : 1,248.45 = 369.78 : x
  2. Step 2: Convert to fraction form
    831.97/1,248.45 = 369.78/x
  3. Step 3: Cross multiply
    831.97x = 1,248.45 × 369.78
  4. Step 4: Simplify right side
    831.97x = 461,645.60
  5. Step 5: Solve for x
    x = 461,645.60/831.97
  6. Step 6: Final answer
    x = 554.88

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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.