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Finding the Fourth Proportional to 1,100.53, 1,651.16 and 552.43

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Solution

The fourth proportional to 1,100.53, 1,651.16 and 552.43 is: 828.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,100.53 : 1,651.16 = 552.43 : x
  2. Step 2: Convert to fraction form
    1,100.53/1,651.16 = 552.43/x
  3. Step 3: Cross multiply
    1,100.53x = 1,651.16 × 552.43
  4. Step 4: Simplify right side
    1,100.53x = 912,147.56
  5. Step 5: Solve for x
    x = 912,147.56/1,100.53
  6. Step 6: Final answer
    x = 828.83

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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.