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Finding the Fourth Proportional to 2,399.28, 3,598.62 and 755.85

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Solution

The fourth proportional to 2,399.28, 3,598.62 and 755.85 is: 1,133.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,399.28 : 3,598.62 = 755.85 : x
  2. Step 2: Convert to fraction form
    2,399.28/3,598.62 = 755.85/x
  3. Step 3: Cross multiply
    2,399.28x = 3,598.62 × 755.85
  4. Step 4: Simplify right side
    2,399.28x = 2,720,016.93
  5. Step 5: Solve for x
    x = 2,720,016.93/2,399.28
  6. Step 6: Final answer
    x = 1,133.68

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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.