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Finding the Fourth Proportional to 812.68, 1,219.49 and 344.12

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Solution

The fourth proportional to 812.68, 1,219.49 and 344.12 is: 516.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    812.68 : 1,219.49 = 344.12 : x
  2. Step 2: Convert to fraction form
    812.68/1,219.49 = 344.12/x
  3. Step 3: Cross multiply
    812.68x = 1,219.49 × 344.12
  4. Step 4: Simplify right side
    812.68x = 419,650.90
  5. Step 5: Solve for x
    x = 419,650.90/812.68
  6. Step 6: Final answer
    x = 516.38

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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.