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Finding the Fourth Proportional to 1,065.91, 1,599.31 and 449.75

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Solution

The fourth proportional to 1,065.91, 1,599.31 and 449.75 is: 674.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,065.91 : 1,599.31 = 449.75 : x
  2. Step 2: Convert to fraction form
    1,065.91/1,599.31 = 449.75/x
  3. Step 3: Cross multiply
    1,065.91x = 1,599.31 × 449.75
  4. Step 4: Simplify right side
    1,065.91x = 719,281.68
  5. Step 5: Solve for x
    x = 719,281.68/1,065.91
  6. Step 6: Final answer
    x = 674.81

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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.