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Finding the Fourth Proportional to 1,128.96, 1,684.87 and 1,099.80

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Solution

The fourth proportional to 1,128.96, 1,684.87 and 1,099.80 is: 1,641.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,128.96 : 1,684.87 = 1,099.80 : x
  2. Step 2: Convert to fraction form
    1,128.96/1,684.87 = 1,099.80/x
  3. Step 3: Cross multiply
    1,128.96x = 1,684.87 × 1,099.80
  4. Step 4: Simplify right side
    1,128.96x = 1,853,020.03
  5. Step 5: Solve for x
    x = 1,853,020.03/1,128.96
  6. Step 6: Final answer
    x = 1,641.35

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.