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Finding the Fourth Proportional to 831.97, 1,247.64 and 485.43

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Solution

The fourth proportional to 831.97, 1,247.64 and 485.43 is: 727.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    831.97 : 1,247.64 = 485.43 : x
  2. Step 2: Convert to fraction form
    831.97/1,247.64 = 485.43/x
  3. Step 3: Cross multiply
    831.97x = 1,247.64 × 485.43
  4. Step 4: Simplify right side
    831.97x = 605,641.89
  5. Step 5: Solve for x
    x = 605,641.89/831.97
  6. Step 6: Final answer
    x = 727.96

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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.