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Finding the Fourth Proportional to 1,081.96, 1,619.88 and 979.44

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Solution

The fourth proportional to 1,081.96, 1,619.88 and 979.44 is: 1,466.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,081.96 : 1,619.88 = 979.44 : x
  2. Step 2: Convert to fraction form
    1,081.96/1,619.88 = 979.44/x
  3. Step 3: Cross multiply
    1,081.96x = 1,619.88 × 979.44
  4. Step 4: Simplify right side
    1,081.96x = 1,586,575.27
  5. Step 5: Solve for x
    x = 1,586,575.27/1,081.96
  6. Step 6: Final answer
    x = 1,466.39

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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.