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Finding the Fourth Proportional to 831.14, 1,244.90 and 342.72

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Solution

The fourth proportional to 831.14, 1,244.90 and 342.72 is: 513.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    831.14 : 1,244.90 = 342.72 : x
  2. Step 2: Convert to fraction form
    831.14/1,244.90 = 342.72/x
  3. Step 3: Cross multiply
    831.14x = 1,244.90 × 342.72
  4. Step 4: Simplify right side
    831.14x = 426,652.13
  5. Step 5: Solve for x
    x = 426,652.13/831.14
  6. Step 6: Final answer
    x = 513.33

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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.