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Finding the Fourth Proportional to 865.90, 1,195.20 and 516.79

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Solution

The fourth proportional to 865.90, 1,195.20 and 516.79 is: 713.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    865.90 : 1,195.20 = 516.79 : x
  2. Step 2: Convert to fraction form
    865.90/1,195.20 = 516.79/x
  3. Step 3: Cross multiply
    865.90x = 1,195.20 × 516.79
  4. Step 4: Simplify right side
    865.90x = 617,667.41
  5. Step 5: Solve for x
    x = 617,667.41/865.90
  6. Step 6: Final answer
    x = 713.32

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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.