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Finding the Fourth Proportional to 742.34, 1,112.09 and 449.93

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Solution

The fourth proportional to 742.34, 1,112.09 and 449.93 is: 674.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    742.34 : 1,112.09 = 449.93 : x
  2. Step 2: Convert to fraction form
    742.34/1,112.09 = 449.93/x
  3. Step 3: Cross multiply
    742.34x = 1,112.09 × 449.93
  4. Step 4: Simplify right side
    742.34x = 500,361.54
  5. Step 5: Solve for x
    x = 500,361.54/742.34
  6. Step 6: Final answer
    x = 674.03

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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.