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Finding the Fourth Proportional to 2,604.39, 3,905.97 and 755.00

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Solution

The fourth proportional to 2,604.39, 3,905.97 and 755.00 is: 1,132.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,604.39 : 3,905.97 = 755.00 : x
  2. Step 2: Convert to fraction form
    2,604.39/3,905.97 = 755.00/x
  3. Step 3: Cross multiply
    2,604.39x = 3,905.97 × 755.00
  4. Step 4: Simplify right side
    2,604.39x = 2,949,025.85
  5. Step 5: Solve for x
    x = 2,949,025.85/2,604.39
  6. Step 6: Final answer
    x = 1,132.33

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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.