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Finding the Fourth Proportional to 842.23, 1,260.91 and 516.61

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Solution

The fourth proportional to 842.23, 1,260.91 and 516.61 is: 773.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    842.23 : 1,260.91 = 516.61 : x
  2. Step 2: Convert to fraction form
    842.23/1,260.91 = 516.61/x
  3. Step 3: Cross multiply
    842.23x = 1,260.91 × 516.61
  4. Step 4: Simplify right side
    842.23x = 651,398.72
  5. Step 5: Solve for x
    x = 651,398.72/842.23
  6. Step 6: Final answer
    x = 773.42

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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.