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Finding the Fourth Proportional to 742.11, 1,024.02 and 443.36

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Solution

The fourth proportional to 742.11, 1,024.02 and 443.36 is: 611.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    742.11 : 1,024.02 = 443.36 : x
  2. Step 2: Convert to fraction form
    742.11/1,024.02 = 443.36/x
  3. Step 3: Cross multiply
    742.11x = 1,024.02 × 443.36
  4. Step 4: Simplify right side
    742.11x = 454,004.39
  5. Step 5: Solve for x
    x = 454,004.39/742.11
  6. Step 6: Final answer
    x = 611.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.