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Finding the Fourth Proportional to 689.87, 1,034.83 and 227.63

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Solution

The fourth proportional to 689.87, 1,034.83 and 227.63 is: 341.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    689.87 : 1,034.83 = 227.63 : x
  2. Step 2: Convert to fraction form
    689.87/1,034.83 = 227.63/x
  3. Step 3: Cross multiply
    689.87x = 1,034.83 × 227.63
  4. Step 4: Simplify right side
    689.87x = 235,553.75
  5. Step 5: Solve for x
    x = 235,553.75/689.87
  6. Step 6: Final answer
    x = 341.45

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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.