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Finding the Fourth Proportional to 742.82, 1,112.43 and 453.86

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Solution

The fourth proportional to 742.82, 1,112.43 and 453.86 is: 679.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    742.82 : 1,112.43 = 453.86 : x
  2. Step 2: Convert to fraction form
    742.82/1,112.43 = 453.86/x
  3. Step 3: Cross multiply
    742.82x = 1,112.43 × 453.86
  4. Step 4: Simplify right side
    742.82x = 504,887.48
  5. Step 5: Solve for x
    x = 504,887.48/742.82
  6. Step 6: Final answer
    x = 679.69

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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.