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Finding the Fourth Proportional to 689.49, 1,034.28 and 227.30

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Solution

The fourth proportional to 689.49, 1,034.28 and 227.30 is: 340.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    689.49 : 1,034.28 = 227.30 : x
  2. Step 2: Convert to fraction form
    689.49/1,034.28 = 227.30/x
  3. Step 3: Cross multiply
    689.49x = 1,034.28 × 227.30
  4. Step 4: Simplify right side
    689.49x = 235,086.67
  5. Step 5: Solve for x
    x = 235,086.67/689.49
  6. Step 6: Final answer
    x = 340.96

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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.