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Finding the Fourth Proportional to 2,165.74, 3,249.38 and 704.89

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Solution

The fourth proportional to 2,165.74, 3,249.38 and 704.89 is: 1,057.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,165.74 : 3,249.38 = 704.89 : x
  2. Step 2: Convert to fraction form
    2,165.74/3,249.38 = 704.89/x
  3. Step 3: Cross multiply
    2,165.74x = 3,249.38 × 704.89
  4. Step 4: Simplify right side
    2,165.74x = 2,290,455.47
  5. Step 5: Solve for x
    x = 2,290,455.47/2,165.74
  6. Step 6: Final answer
    x = 1,057.59

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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.