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Finding the Fourth Proportional to 851.76, 1,279.08 and 658.80

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Solution

The fourth proportional to 851.76, 1,279.08 and 658.80 is: 989.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    851.76 : 1,279.08 = 658.80 : x
  2. Step 2: Convert to fraction form
    851.76/1,279.08 = 658.80/x
  3. Step 3: Cross multiply
    851.76x = 1,279.08 × 658.80
  4. Step 4: Simplify right side
    851.76x = 842,657.90
  5. Step 5: Solve for x
    x = 842,657.90/851.76
  6. Step 6: Final answer
    x = 989.31

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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.