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Finding the Fourth Proportional to 863.70, 1,194.22 and 754.36

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Solution

The fourth proportional to 863.70, 1,194.22 and 754.36 is: 1,043.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    863.70 : 1,194.22 = 754.36 : x
  2. Step 2: Convert to fraction form
    863.70/1,194.22 = 754.36/x
  3. Step 3: Cross multiply
    863.70x = 1,194.22 × 754.36
  4. Step 4: Simplify right side
    863.70x = 900,871.80
  5. Step 5: Solve for x
    x = 900,871.80/863.70
  6. Step 6: Final answer
    x = 1,043.04

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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.