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Finding the Fourth Proportional to 831.91, 1,247.18 and 344.69

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Solution

The fourth proportional to 831.91, 1,247.18 and 344.69 is: 516.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    831.91 : 1,247.18 = 344.69 : x
  2. Step 2: Convert to fraction form
    831.91/1,247.18 = 344.69/x
  3. Step 3: Cross multiply
    831.91x = 1,247.18 × 344.69
  4. Step 4: Simplify right side
    831.91x = 429,890.47
  5. Step 5: Solve for x
    x = 429,890.47/831.91
  6. Step 6: Final answer
    x = 516.75

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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.