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Finding the Fourth Proportional to 864.05, 1,296.09 and 343.85

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Solution

The fourth proportional to 864.05, 1,296.09 and 343.85 is: 515.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    864.05 : 1,296.09 = 343.85 : x
  2. Step 2: Convert to fraction form
    864.05/1,296.09 = 343.85/x
  3. Step 3: Cross multiply
    864.05x = 1,296.09 × 343.85
  4. Step 4: Simplify right side
    864.05x = 445,654.07
  5. Step 5: Solve for x
    x = 445,654.07/864.05
  6. Step 6: Final answer
    x = 515.78

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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.