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Finding the Fourth Proportional to 1,100.44, 1,518.96 and 727.75

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Solution

The fourth proportional to 1,100.44, 1,518.96 and 727.75 is: 1,004.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,100.44 : 1,518.96 = 727.75 : x
  2. Step 2: Convert to fraction form
    1,100.44/1,518.96 = 727.75/x
  3. Step 3: Cross multiply
    1,100.44x = 1,518.96 × 727.75
  4. Step 4: Simplify right side
    1,100.44x = 1,105,423.14
  5. Step 5: Solve for x
    x = 1,105,423.14/1,100.44
  6. Step 6: Final answer
    x = 1,004.53

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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.