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Finding the Fourth Proportional to 842.70, 1,163.26 and 755.22

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Solution

The fourth proportional to 842.70, 1,163.26 and 755.22 is: 1,042.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    842.70 : 1,163.26 = 755.22 : x
  2. Step 2: Convert to fraction form
    842.70/1,163.26 = 755.22/x
  3. Step 3: Cross multiply
    842.70x = 1,163.26 × 755.22
  4. Step 4: Simplify right side
    842.70x = 878,517.22
  5. Step 5: Solve for x
    x = 878,517.22/842.70
  6. Step 6: Final answer
    x = 1,042.50

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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.