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Finding the Fourth Proportional to 831.53, 1,246.42 and 311.19

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Solution

The fourth proportional to 831.53, 1,246.42 and 311.19 is: 466.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    831.53 : 1,246.42 = 311.19 : x
  2. Step 2: Convert to fraction form
    831.53/1,246.42 = 311.19/x
  3. Step 3: Cross multiply
    831.53x = 1,246.42 × 311.19
  4. Step 4: Simplify right side
    831.53x = 387,876.17
  5. Step 5: Solve for x
    x = 387,876.17/831.53
  6. Step 6: Final answer
    x = 466.46

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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.