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Finding the Fourth Proportional to 1,682.62, 2,523.72 and 450.12

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Solution

The fourth proportional to 1,682.62, 2,523.72 and 450.12 is: 675.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,682.62 : 2,523.72 = 450.12 : x
  2. Step 2: Convert to fraction form
    1,682.62/2,523.72 = 450.12/x
  3. Step 3: Cross multiply
    1,682.62x = 2,523.72 × 450.12
  4. Step 4: Simplify right side
    1,682.62x = 1,135,976.85
  5. Step 5: Solve for x
    x = 1,135,976.85/1,682.62
  6. Step 6: Final answer
    x = 675.12

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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.