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Finding the Fourth Proportional to 689.78, 1,034.61 and 227.57

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Solution

The fourth proportional to 689.78, 1,034.61 and 227.57 is: 341.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    689.78 : 1,034.61 = 227.57 : x
  2. Step 2: Convert to fraction form
    689.78/1,034.61 = 227.57/x
  3. Step 3: Cross multiply
    689.78x = 1,034.61 × 227.57
  4. Step 4: Simplify right side
    689.78x = 235,446.20
  5. Step 5: Solve for x
    x = 235,446.20/689.78
  6. Step 6: Final answer
    x = 341.34

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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.