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Finding the Fourth Proportional to 831.57, 1,147.11 and 516.72

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Solution

The fourth proportional to 831.57, 1,147.11 and 516.72 is: 712.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    831.57 : 1,147.11 = 516.72 : x
  2. Step 2: Convert to fraction form
    831.57/1,147.11 = 516.72/x
  3. Step 3: Cross multiply
    831.57x = 1,147.11 × 516.72
  4. Step 4: Simplify right side
    831.57x = 592,734.68
  5. Step 5: Solve for x
    x = 592,734.68/831.57
  6. Step 6: Final answer
    x = 712.79

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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.