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Finding the Fourth Proportional to 1,079.92, 1,488.45 and 986.95

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Solution

The fourth proportional to 1,079.92, 1,488.45 and 986.95 is: 1,360.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,079.92 : 1,488.45 = 986.95 : x
  2. Step 2: Convert to fraction form
    1,079.92/1,488.45 = 986.95/x
  3. Step 3: Cross multiply
    1,079.92x = 1,488.45 × 986.95
  4. Step 4: Simplify right side
    1,079.92x = 1,469,025.73
  5. Step 5: Solve for x
    x = 1,469,025.73/1,079.92
  6. Step 6: Final answer
    x = 1,360.31

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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.