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Finding the Fourth Proportional to 986.80, 1,481.40 and 979.60

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Solution

The fourth proportional to 986.80, 1,481.40 and 979.60 is: 1,470.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    986.80 : 1,481.40 = 979.60 : x
  2. Step 2: Convert to fraction form
    986.80/1,481.40 = 979.60/x
  3. Step 3: Cross multiply
    986.80x = 1,481.40 × 979.60
  4. Step 4: Simplify right side
    986.80x = 1,451,179.44
  5. Step 5: Solve for x
    x = 1,451,179.44/986.80
  6. Step 6: Final answer
    x = 1,470.59

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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.