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Finding the Fourth Proportional to 865.12, 1,298.33 and 634.61

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Solution

The fourth proportional to 865.12, 1,298.33 and 634.61 is: 952.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    865.12 : 1,298.33 = 634.61 : x
  2. Step 2: Convert to fraction form
    865.12/1,298.33 = 634.61/x
  3. Step 3: Cross multiply
    865.12x = 1,298.33 × 634.61
  4. Step 4: Simplify right side
    865.12x = 823,923.54
  5. Step 5: Solve for x
    x = 823,923.54/865.12
  6. Step 6: Final answer
    x = 952.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.