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Finding the Fourth Proportional to 863.76, 1,189.48 and 844.68

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Solution

The fourth proportional to 863.76, 1,189.48 and 844.68 is: 1,163.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    863.76 : 1,189.48 = 844.68 : x
  2. Step 2: Convert to fraction form
    863.76/1,189.48 = 844.68/x
  3. Step 3: Cross multiply
    863.76x = 1,189.48 × 844.68
  4. Step 4: Simplify right side
    863.76x = 1,004,729.97
  5. Step 5: Solve for x
    x = 1,004,729.97/863.76
  6. Step 6: Final answer
    x = 1,163.21

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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.