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Finding the Fourth Proportional to 831.97, 1,247.23 and 489.25

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Solution

The fourth proportional to 831.97, 1,247.23 and 489.25 is: 733.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    831.97 : 1,247.23 = 489.25 : x
  2. Step 2: Convert to fraction form
    831.97/1,247.23 = 489.25/x
  3. Step 3: Cross multiply
    831.97x = 1,247.23 × 489.25
  4. Step 4: Simplify right side
    831.97x = 610,207.28
  5. Step 5: Solve for x
    x = 610,207.28/831.97
  6. Step 6: Final answer
    x = 733.45

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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.