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Finding the Fourth Proportional to 831.05, 1,247.13 and 344.09

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Solution

The fourth proportional to 831.05, 1,247.13 and 344.09 is: 516.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    831.05 : 1,247.13 = 344.09 : x
  2. Step 2: Convert to fraction form
    831.05/1,247.13 = 344.09/x
  3. Step 3: Cross multiply
    831.05x = 1,247.13 × 344.09
  4. Step 4: Simplify right side
    831.05x = 429,128.08
  5. Step 5: Solve for x
    x = 429,128.08/831.05
  6. Step 6: Final answer
    x = 516.37

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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.