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Finding the Fourth Proportional to 743.34, 1,112.42 and 450.66

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Solution

The fourth proportional to 743.34, 1,112.42 and 450.66 is: 674.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    743.34 : 1,112.42 = 450.66 : x
  2. Step 2: Convert to fraction form
    743.34/1,112.42 = 450.66/x
  3. Step 3: Cross multiply
    743.34x = 1,112.42 × 450.66
  4. Step 4: Simplify right side
    743.34x = 501,323.20
  5. Step 5: Solve for x
    x = 501,323.20/743.34
  6. Step 6: Final answer
    x = 674.42

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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.