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Finding the Fourth Proportional to 1,034.50, 1,552.38 and 418.14

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Solution

The fourth proportional to 1,034.50, 1,552.38 and 418.14 is: 627.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,034.50 : 1,552.38 = 418.14 : x
  2. Step 2: Convert to fraction form
    1,034.50/1,552.38 = 418.14/x
  3. Step 3: Cross multiply
    1,034.50x = 1,552.38 × 418.14
  4. Step 4: Simplify right side
    1,034.50x = 649,112.17
  5. Step 5: Solve for x
    x = 649,112.17/1,034.50
  6. Step 6: Final answer
    x = 627.46

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Why These Related Problems?

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