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Finding the Fourth Proportional to 1,100.27, 1,650.19 and 552.30

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Solution

The fourth proportional to 1,100.27, 1,650.19 and 552.30 is: 828.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,100.27 : 1,650.19 = 552.30 : x
  2. Step 2: Convert to fraction form
    1,100.27/1,650.19 = 552.30/x
  3. Step 3: Cross multiply
    1,100.27x = 1,650.19 × 552.30
  4. Step 4: Simplify right side
    1,100.27x = 911,399.94
  5. Step 5: Solve for x
    x = 911,399.94/1,100.27
  6. Step 6: Final answer
    x = 828.34

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.