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Finding the Fourth Proportional to 2,207.66, 3,309.41 and 745.78

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Solution

The fourth proportional to 2,207.66, 3,309.41 and 745.78 is: 1,117.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,207.66 : 3,309.41 = 745.78 : x
  2. Step 2: Convert to fraction form
    2,207.66/3,309.41 = 745.78/x
  3. Step 3: Cross multiply
    2,207.66x = 3,309.41 × 745.78
  4. Step 4: Simplify right side
    2,207.66x = 2,468,096.70
  5. Step 5: Solve for x
    x = 2,468,096.70/2,207.66
  6. Step 6: Final answer
    x = 1,117.97

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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.