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Finding the Fourth Proportional to 1,099.20, 1,514.24 and 888.96

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Solution

The fourth proportional to 1,099.20, 1,514.24 and 888.96 is: 1,224.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,099.20 : 1,514.24 = 888.96 : x
  2. Step 2: Convert to fraction form
    1,099.20/1,514.24 = 888.96/x
  3. Step 3: Cross multiply
    1,099.20x = 1,514.24 × 888.96
  4. Step 4: Simplify right side
    1,099.20x = 1,346,098.79
  5. Step 5: Solve for x
    x = 1,346,098.79/1,099.20
  6. Step 6: Final answer
    x = 1,224.62

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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.