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Finding the Fourth Proportional to 865.22, 1,194.14 and 515.97

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Solution

The fourth proportional to 865.22, 1,194.14 and 515.97 is: 712.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    865.22 : 1,194.14 = 515.97 : x
  2. Step 2: Convert to fraction form
    865.22/1,194.14 = 515.97/x
  3. Step 3: Cross multiply
    865.22x = 1,194.14 × 515.97
  4. Step 4: Simplify right side
    865.22x = 616,141.71
  5. Step 5: Solve for x
    x = 616,141.71/865.22
  6. Step 6: Final answer
    x = 712.13

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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.