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Finding the Fourth Proportional to 1,600.44, 2,396.07 and 1,446.68

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Solution

The fourth proportional to 1,600.44, 2,396.07 and 1,446.68 is: 2,165.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,600.44 : 2,396.07 = 1,446.68 : x
  2. Step 2: Convert to fraction form
    1,600.44/2,396.07 = 1,446.68/x
  3. Step 3: Cross multiply
    1,600.44x = 2,396.07 × 1,446.68
  4. Step 4: Simplify right side
    1,600.44x = 3,466,334.57
  5. Step 5: Solve for x
    x = 3,466,334.57/1,600.44
  6. Step 6: Final answer
    x = 2,165.86

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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.