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Finding the Fourth Proportional to 1,608.44, 2,408.80 and 1,376

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Solution

The fourth proportional to 1,608.44, 2,408.80 and 1,376 is: 2,060.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,608.44 : 2,408.80 = 1,376 : x
  2. Step 2: Convert to fraction form
    1,608.44/2,408.80 = 1,376/x
  3. Step 3: Cross multiply
    1,608.44x = 2,408.80 × 1,376
  4. Step 4: Simplify right side
    1,608.44x = 3,314,508.80
  5. Step 5: Solve for x
    x = 3,314,508.80/1,608.44
  6. Step 6: Final answer
    x = 2,060.70

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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.