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Finding the Fourth Proportional to 1,065.92, 1,599.10 and 449.63

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Solution

The fourth proportional to 1,065.92, 1,599.10 and 449.63 is: 674.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,065.92 : 1,599.10 = 449.63 : x
  2. Step 2: Convert to fraction form
    1,065.92/1,599.10 = 449.63/x
  3. Step 3: Cross multiply
    1,065.92x = 1,599.10 × 449.63
  4. Step 4: Simplify right side
    1,065.92x = 719,003.33
  5. Step 5: Solve for x
    x = 719,003.33/1,065.92
  6. Step 6: Final answer
    x = 674.54

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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.