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Finding the Fourth Proportional to 831.85, 1,247.06 and 392.87

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Solution

The fourth proportional to 831.85, 1,247.06 and 392.87 is: 588.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    831.85 : 1,247.06 = 392.87 : x
  2. Step 2: Convert to fraction form
    831.85/1,247.06 = 392.87/x
  3. Step 3: Cross multiply
    831.85x = 1,247.06 × 392.87
  4. Step 4: Simplify right side
    831.85x = 489,936.56
  5. Step 5: Solve for x
    x = 489,936.56/831.85
  6. Step 6: Final answer
    x = 588.97

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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.