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Finding the Fourth Proportional to 842.75, 1,163.18 and 532.43

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Solution

The fourth proportional to 842.75, 1,163.18 and 532.43 is: 734.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    842.75 : 1,163.18 = 532.43 : x
  2. Step 2: Convert to fraction form
    842.75/1,163.18 = 532.43/x
  3. Step 3: Cross multiply
    842.75x = 1,163.18 × 532.43
  4. Step 4: Simplify right side
    842.75x = 619,309.27
  5. Step 5: Solve for x
    x = 619,309.27/842.75
  6. Step 6: Final answer
    x = 734.87

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.