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Finding the Fourth Proportional to 865.08, 1,194.18 and 516.12

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Solution

The fourth proportional to 865.08, 1,194.18 and 516.12 is: 712.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    865.08 : 1,194.18 = 516.12 : x
  2. Step 2: Convert to fraction form
    865.08/1,194.18 = 516.12/x
  3. Step 3: Cross multiply
    865.08x = 1,194.18 × 516.12
  4. Step 4: Simplify right side
    865.08x = 616,340.18
  5. Step 5: Solve for x
    x = 616,340.18/865.08
  6. Step 6: Final answer
    x = 712.47

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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.