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Finding the Fourth Proportional to 1,099.96, 1,516.92 and 990.61

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Solution

The fourth proportional to 1,099.96, 1,516.92 and 990.61 is: 1,366.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,099.96 : 1,516.92 = 990.61 : x
  2. Step 2: Convert to fraction form
    1,099.96/1,516.92 = 990.61/x
  3. Step 3: Cross multiply
    1,099.96x = 1,516.92 × 990.61
  4. Step 4: Simplify right side
    1,099.96x = 1,502,676.12
  5. Step 5: Solve for x
    x = 1,502,676.12/1,099.96
  6. Step 6: Final answer
    x = 1,366.12

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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.