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Finding the Fourth Proportional to 881.82, 1,323.27 and 752.22

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Solution

The fourth proportional to 881.82, 1,323.27 and 752.22 is: 1,128.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    881.82 : 1,323.27 = 752.22 : x
  2. Step 2: Convert to fraction form
    881.82/1,323.27 = 752.22/x
  3. Step 3: Cross multiply
    881.82x = 1,323.27 × 752.22
  4. Step 4: Simplify right side
    881.82x = 995,390.16
  5. Step 5: Solve for x
    x = 995,390.16/881.82
  6. Step 6: Final answer
    x = 1,128.79

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.