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Finding the Fourth Proportional to 864.22, 1,296.78 and 344.11

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Solution

The fourth proportional to 864.22, 1,296.78 and 344.11 is: 516.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    864.22 : 1,296.78 = 344.11 : x
  2. Step 2: Convert to fraction form
    864.22/1,296.78 = 344.11/x
  3. Step 3: Cross multiply
    864.22x = 1,296.78 × 344.11
  4. Step 4: Simplify right side
    864.22x = 446,234.97
  5. Step 5: Solve for x
    x = 446,234.97/864.22
  6. Step 6: Final answer
    x = 516.34

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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.