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Finding the Fourth Proportional to 912.97, 1,367.41 and 882.22

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Solution

The fourth proportional to 912.97, 1,367.41 and 882.22 is: 1,321.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    912.97 : 1,367.41 = 882.22 : x
  2. Step 2: Convert to fraction form
    912.97/1,367.41 = 882.22/x
  3. Step 3: Cross multiply
    912.97x = 1,367.41 × 882.22
  4. Step 4: Simplify right side
    912.97x = 1,206,348.72
  5. Step 5: Solve for x
    x = 1,206,348.72/912.97
  6. Step 6: Final answer
    x = 1,321.34

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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.