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Finding the Fourth Proportional to 831.35, 1,247.07 and 311.23

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Solution

The fourth proportional to 831.35, 1,247.07 and 311.23 is: 466.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    831.35 : 1,247.07 = 311.23 : x
  2. Step 2: Convert to fraction form
    831.35/1,247.07 = 311.23/x
  3. Step 3: Cross multiply
    831.35x = 1,247.07 × 311.23
  4. Step 4: Simplify right side
    831.35x = 388,119.36
  5. Step 5: Solve for x
    x = 388,119.36/831.35
  6. Step 6: Final answer
    x = 466.86

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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.