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Finding the Fourth Proportional to 2,251.14, 3,375.66 and 690.74

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Solution

The fourth proportional to 2,251.14, 3,375.66 and 690.74 is: 1,035.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,251.14 : 3,375.66 = 690.74 : x
  2. Step 2: Convert to fraction form
    2,251.14/3,375.66 = 690.74/x
  3. Step 3: Cross multiply
    2,251.14x = 3,375.66 × 690.74
  4. Step 4: Simplify right side
    2,251.14x = 2,331,703.39
  5. Step 5: Solve for x
    x = 2,331,703.39/2,251.14
  6. Step 6: Final answer
    x = 1,035.79

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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.