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Finding the Fourth Proportional to 1,034.18, 1,552.23 and 1,010.42

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Solution

The fourth proportional to 1,034.18, 1,552.23 and 1,010.42 is: 1,516.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,034.18 : 1,552.23 = 1,010.42 : x
  2. Step 2: Convert to fraction form
    1,034.18/1,552.23 = 1,010.42/x
  3. Step 3: Cross multiply
    1,034.18x = 1,552.23 × 1,010.42
  4. Step 4: Simplify right side
    1,034.18x = 1,568,404.24
  5. Step 5: Solve for x
    x = 1,568,404.24/1,034.18
  6. Step 6: Final answer
    x = 1,516.57

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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.