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Finding the Fourth Proportional to 2,229.94, 3,344.90 and 669.98

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Solution

The fourth proportional to 2,229.94, 3,344.90 and 669.98 is: 1,004.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,229.94 : 3,344.90 = 669.98 : x
  2. Step 2: Convert to fraction form
    2,229.94/3,344.90 = 669.98/x
  3. Step 3: Cross multiply
    2,229.94x = 3,344.90 × 669.98
  4. Step 4: Simplify right side
    2,229.94x = 2,241,021.11
  5. Step 5: Solve for x
    x = 2,241,021.11/2,229.94
  6. Step 6: Final answer
    x = 1,004.97

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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.