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Finding the Fourth Proportional to 936.31, 1,292.11 and 516.68

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Solution

The fourth proportional to 936.31, 1,292.11 and 516.68 is: 713.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    936.31 : 1,292.11 = 516.68 : x
  2. Step 2: Convert to fraction form
    936.31/1,292.11 = 516.68/x
  3. Step 3: Cross multiply
    936.31x = 1,292.11 × 516.68
  4. Step 4: Simplify right side
    936.31x = 667,608.04
  5. Step 5: Solve for x
    x = 667,608.04/936.31
  6. Step 6: Final answer
    x = 713.02

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.