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Finding the Fourth Proportional to 863.31, 1,190.97 and 531.61

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Solution

The fourth proportional to 863.31, 1,190.97 and 531.61 is: 733.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    863.31 : 1,190.97 = 531.61 : x
  2. Step 2: Convert to fraction form
    863.31/1,190.97 = 531.61/x
  3. Step 3: Cross multiply
    863.31x = 1,190.97 × 531.61
  4. Step 4: Simplify right side
    863.31x = 633,131.56
  5. Step 5: Solve for x
    x = 633,131.56/863.31
  6. Step 6: Final answer
    x = 733.38

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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.