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Finding the Fourth Proportional to 1,143.14, 1,714.38 and 449.68

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Solution

The fourth proportional to 1,143.14, 1,714.38 and 449.68 is: 674.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,143.14 : 1,714.38 = 449.68 : x
  2. Step 2: Convert to fraction form
    1,143.14/1,714.38 = 449.68/x
  3. Step 3: Cross multiply
    1,143.14x = 1,714.38 × 449.68
  4. Step 4: Simplify right side
    1,143.14x = 770,922.40
  5. Step 5: Solve for x
    x = 770,922.40/1,143.14
  6. Step 6: Final answer
    x = 674.39

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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.