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Finding the Fourth Proportional to 852.88, 1,279.32 and 771.88

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Solution

The fourth proportional to 852.88, 1,279.32 and 771.88 is: 1,157.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    852.88 : 1,279.32 = 771.88 : x
  2. Step 2: Convert to fraction form
    852.88/1,279.32 = 771.88/x
  3. Step 3: Cross multiply
    852.88x = 1,279.32 × 771.88
  4. Step 4: Simplify right side
    852.88x = 987,481.52
  5. Step 5: Solve for x
    x = 987,481.52/852.88
  6. Step 6: Final answer
    x = 1,157.82

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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.