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Finding the Fourth Proportional to 782.71, 1,174.31 and 344.33

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Solution

The fourth proportional to 782.71, 1,174.31 and 344.33 is: 516.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    782.71 : 1,174.31 = 344.33 : x
  2. Step 2: Convert to fraction form
    782.71/1,174.31 = 344.33/x
  3. Step 3: Cross multiply
    782.71x = 1,174.31 × 344.33
  4. Step 4: Simplify right side
    782.71x = 404,353.96
  5. Step 5: Solve for x
    x = 404,353.96/782.71
  6. Step 6: Final answer
    x = 516.61

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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.