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Finding the Fourth Proportional to 2,399.94, 3,600.12 and 668.57

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Solution

The fourth proportional to 2,399.94, 3,600.12 and 668.57 is: 1,002.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,399.94 : 3,600.12 = 668.57 : x
  2. Step 2: Convert to fraction form
    2,399.94/3,600.12 = 668.57/x
  3. Step 3: Cross multiply
    2,399.94x = 3,600.12 × 668.57
  4. Step 4: Simplify right side
    2,399.94x = 2,406,910.88
  5. Step 5: Solve for x
    x = 2,406,910.88/2,399.94
  6. Step 6: Final answer
    x = 1,002.90

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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.