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Finding the Fourth Proportional to 689.18, 1,034.27 and 429.56

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Solution

The fourth proportional to 689.18, 1,034.27 and 429.56 is: 644.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    689.18 : 1,034.27 = 429.56 : x
  2. Step 2: Convert to fraction form
    689.18/1,034.27 = 429.56/x
  3. Step 3: Cross multiply
    689.18x = 1,034.27 × 429.56
  4. Step 4: Simplify right side
    689.18x = 444,273.70
  5. Step 5: Solve for x
    x = 444,273.70/689.18
  6. Step 6: Final answer
    x = 644.65

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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.