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Finding the Fourth Proportional to 936.42, 1,292.20 and 516.78

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Solution

The fourth proportional to 936.42, 1,292.20 and 516.78 is: 713.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    936.42 : 1,292.20 = 516.78 : x
  2. Step 2: Convert to fraction form
    936.42/1,292.20 = 516.78/x
  3. Step 3: Cross multiply
    936.42x = 1,292.20 × 516.78
  4. Step 4: Simplify right side
    936.42x = 667,782.31
  5. Step 5: Solve for x
    x = 667,782.31/936.42
  6. Step 6: Final answer
    x = 713.12

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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.