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Finding the Fourth Proportional to 831.50, 1,247.76 and 344.49

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Solution

The fourth proportional to 831.50, 1,247.76 and 344.49 is: 516.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    831.50 : 1,247.76 = 344.49 : x
  2. Step 2: Convert to fraction form
    831.50/1,247.76 = 344.49/x
  3. Step 3: Cross multiply
    831.50x = 1,247.76 × 344.49
  4. Step 4: Simplify right side
    831.50x = 429,840.84
  5. Step 5: Solve for x
    x = 429,840.84/831.50
  6. Step 6: Final answer
    x = 516.95

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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.