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Finding the Fourth Proportional to 831.06, 1,246.87 and 311.11

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Solution

The fourth proportional to 831.06, 1,246.87 and 311.11 is: 466.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    831.06 : 1,246.87 = 311.11 : x
  2. Step 2: Convert to fraction form
    831.06/1,246.87 = 311.11/x
  3. Step 3: Cross multiply
    831.06x = 1,246.87 × 311.11
  4. Step 4: Simplify right side
    831.06x = 387,910.78
  5. Step 5: Solve for x
    x = 387,910.78/831.06
  6. Step 6: Final answer
    x = 466.77

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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.