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Finding the Fourth Proportional to 936.12, 1,291.88 and 516.47

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Solution

The fourth proportional to 936.12, 1,291.88 and 516.47 is: 712.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    936.12 : 1,291.88 = 516.47 : x
  2. Step 2: Convert to fraction form
    936.12/1,291.88 = 516.47/x
  3. Step 3: Cross multiply
    936.12x = 1,291.88 × 516.47
  4. Step 4: Simplify right side
    936.12x = 667,208.22
  5. Step 5: Solve for x
    x = 667,208.22/936.12
  6. Step 6: Final answer
    x = 712.74

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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.