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Finding the Fourth Proportional to 1,099.68, 1,650.60 and 826.44

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Solution

The fourth proportional to 1,099.68, 1,650.60 and 826.44 is: 1,240.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,099.68 : 1,650.60 = 826.44 : x
  2. Step 2: Convert to fraction form
    1,099.68/1,650.60 = 826.44/x
  3. Step 3: Cross multiply
    1,099.68x = 1,650.60 × 826.44
  4. Step 4: Simplify right side
    1,099.68x = 1,364,121.86
  5. Step 5: Solve for x
    x = 1,364,121.86/1,099.68
  6. Step 6: Final answer
    x = 1,240.47

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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.