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Finding the Fourth Proportional to 1,372.29, 2,057.39 and 447.29

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Solution

The fourth proportional to 1,372.29, 2,057.39 and 447.29 is: 670.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,372.29 : 2,057.39 = 447.29 : x
  2. Step 2: Convert to fraction form
    1,372.29/2,057.39 = 447.29/x
  3. Step 3: Cross multiply
    1,372.29x = 2,057.39 × 447.29
  4. Step 4: Simplify right side
    1,372.29x = 920,249.97
  5. Step 5: Solve for x
    x = 920,249.97/1,372.29
  6. Step 6: Final answer
    x = 670.59

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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.