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Finding the Fourth Proportional to 865.10, 1,193.61 and 515.78

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Solution

The fourth proportional to 865.10, 1,193.61 and 515.78 is: 711.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    865.10 : 1,193.61 = 515.78 : x
  2. Step 2: Convert to fraction form
    865.10/1,193.61 = 515.78/x
  3. Step 3: Cross multiply
    865.10x = 1,193.61 × 515.78
  4. Step 4: Simplify right side
    865.10x = 615,640.17
  5. Step 5: Solve for x
    x = 615,640.17/865.10
  6. Step 6: Final answer
    x = 711.64

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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.