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Finding the Fourth Proportional to 2,208.02, 3,311.49 and 669.02

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Solution

The fourth proportional to 2,208.02, 3,311.49 and 669.02 is: 1,003.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,208.02 : 3,311.49 = 669.02 : x
  2. Step 2: Convert to fraction form
    2,208.02/3,311.49 = 669.02/x
  3. Step 3: Cross multiply
    2,208.02x = 3,311.49 × 669.02
  4. Step 4: Simplify right side
    2,208.02x = 2,215,453.04
  5. Step 5: Solve for x
    x = 2,215,453.04/2,208.02
  6. Step 6: Final answer
    x = 1,003.37

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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.