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Finding the Fourth Proportional to 865.75, 1,195.28 and 555.79

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Solution

The fourth proportional to 865.75, 1,195.28 and 555.79 is: 767.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    865.75 : 1,195.28 = 555.79 : x
  2. Step 2: Convert to fraction form
    865.75/1,195.28 = 555.79/x
  3. Step 3: Cross multiply
    865.75x = 1,195.28 × 555.79
  4. Step 4: Simplify right side
    865.75x = 664,324.67
  5. Step 5: Solve for x
    x = 664,324.67/865.75
  6. Step 6: Final answer
    x = 767.34

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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.