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Finding the Fourth Proportional to 928.22, 1,279.88 and 871.72

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Solution

The fourth proportional to 928.22, 1,279.88 and 871.72 is: 1,201.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    928.22 : 1,279.88 = 871.72 : x
  2. Step 2: Convert to fraction form
    928.22/1,279.88 = 871.72/x
  3. Step 3: Cross multiply
    928.22x = 1,279.88 × 871.72
  4. Step 4: Simplify right side
    928.22x = 1,115,696.99
  5. Step 5: Solve for x
    x = 1,115,696.99/928.22
  6. Step 6: Final answer
    x = 1,201.97

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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.