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Finding the Fourth Proportional to 986.82, 1,480.24 and 677.73

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Solution

The fourth proportional to 986.82, 1,480.24 and 677.73 is: 1,016.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    986.82 : 1,480.24 = 677.73 : x
  2. Step 2: Convert to fraction form
    986.82/1,480.24 = 677.73/x
  3. Step 3: Cross multiply
    986.82x = 1,480.24 × 677.73
  4. Step 4: Simplify right side
    986.82x = 1,003,209.45
  5. Step 5: Solve for x
    x = 1,003,209.45/986.82
  6. Step 6: Final answer
    x = 1,016.61

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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.