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Finding the Fourth Proportional to 928.39, 1,279.96 and 771.16

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Solution

The fourth proportional to 928.39, 1,279.96 and 771.16 is: 1,063.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    928.39 : 1,279.96 = 771.16 : x
  2. Step 2: Convert to fraction form
    928.39/1,279.96 = 771.16/x
  3. Step 3: Cross multiply
    928.39x = 1,279.96 × 771.16
  4. Step 4: Simplify right side
    928.39x = 987,053.95
  5. Step 5: Solve for x
    x = 987,053.95/928.39
  6. Step 6: Final answer
    x = 1,063.19

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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.