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Finding the Fourth Proportional to 1,682.36, 2,523.26 and 449.90

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Solution

The fourth proportional to 1,682.36, 2,523.26 and 449.90 is: 674.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,682.36 : 2,523.26 = 449.90 : x
  2. Step 2: Convert to fraction form
    1,682.36/2,523.26 = 449.90/x
  3. Step 3: Cross multiply
    1,682.36x = 2,523.26 × 449.90
  4. Step 4: Simplify right side
    1,682.36x = 1,135,214.67
  5. Step 5: Solve for x
    x = 1,135,214.67/1,682.36
  6. Step 6: Final answer
    x = 674.78

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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.