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Finding the Fourth Proportional to 1,099.60, 1,648.86 and 728.80

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Solution

The fourth proportional to 1,099.60, 1,648.86 and 728.80 is: 1,092.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,099.60 : 1,648.86 = 728.80 : x
  2. Step 2: Convert to fraction form
    1,099.60/1,648.86 = 728.80/x
  3. Step 3: Cross multiply
    1,099.60x = 1,648.86 × 728.80
  4. Step 4: Simplify right side
    1,099.60x = 1,201,689.17
  5. Step 5: Solve for x
    x = 1,201,689.17/1,099.60
  6. Step 6: Final answer
    x = 1,092.84

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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.