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Finding the Fourth Proportional to 2,249.05, 3,373.61 and 768.61

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Solution

The fourth proportional to 2,249.05, 3,373.61 and 768.61 is: 1,152.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,249.05 : 3,373.61 = 768.61 : x
  2. Step 2: Convert to fraction form
    2,249.05/3,373.61 = 768.61/x
  3. Step 3: Cross multiply
    2,249.05x = 3,373.61 × 768.61
  4. Step 4: Simplify right side
    2,249.05x = 2,592,987.75
  5. Step 5: Solve for x
    x = 2,592,987.75/2,249.05
  6. Step 6: Final answer
    x = 1,152.93

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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.