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Finding the Fourth Proportional to 689.26, 1,033.43 and 226.88

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Solution

The fourth proportional to 689.26, 1,033.43 and 226.88 is: 340.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    689.26 : 1,033.43 = 226.88 : x
  2. Step 2: Convert to fraction form
    689.26/1,033.43 = 226.88/x
  3. Step 3: Cross multiply
    689.26x = 1,033.43 × 226.88
  4. Step 4: Simplify right side
    689.26x = 234,458.30
  5. Step 5: Solve for x
    x = 234,458.30/689.26
  6. Step 6: Final answer
    x = 340.16

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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.