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Finding the Fourth Proportional to 2,604.23, 3,906.23 and 755.30

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Solution

The fourth proportional to 2,604.23, 3,906.23 and 755.30 is: 1,132.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,604.23 : 3,906.23 = 755.30 : x
  2. Step 2: Convert to fraction form
    2,604.23/3,906.23 = 755.30/x
  3. Step 3: Cross multiply
    2,604.23x = 3,906.23 × 755.30
  4. Step 4: Simplify right side
    2,604.23x = 2,950,375.52
  5. Step 5: Solve for x
    x = 2,950,375.52/2,604.23
  6. Step 6: Final answer
    x = 1,132.92

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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.