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Finding the Fourth Proportional to 1,143.44, 1,713.99 and 449.83

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Solution

The fourth proportional to 1,143.44, 1,713.99 and 449.83 is: 674.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,143.44 : 1,713.99 = 449.83 : x
  2. Step 2: Convert to fraction form
    1,143.44/1,713.99 = 449.83/x
  3. Step 3: Cross multiply
    1,143.44x = 1,713.99 × 449.83
  4. Step 4: Simplify right side
    1,143.44x = 771,005.42
  5. Step 5: Solve for x
    x = 771,005.42/1,143.44
  6. Step 6: Final answer
    x = 674.28

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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.