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Finding the Fourth Proportional to 1,608.82, 2,408.19 and 1,297.78

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Solution

The fourth proportional to 1,608.82, 2,408.19 and 1,297.78 is: 1,942.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,608.82 : 2,408.19 = 1,297.78 : x
  2. Step 2: Convert to fraction form
    1,608.82/2,408.19 = 1,297.78/x
  3. Step 3: Cross multiply
    1,608.82x = 2,408.19 × 1,297.78
  4. Step 4: Simplify right side
    1,608.82x = 3,125,300.82
  5. Step 5: Solve for x
    x = 3,125,300.82/1,608.82
  6. Step 6: Final answer
    x = 1,942.60

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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.