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Finding the Fourth Proportional to 812.33, 1,219.10 and 447.42

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Solution

The fourth proportional to 812.33, 1,219.10 and 447.42 is: 671.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    812.33 : 1,219.10 = 447.42 : x
  2. Step 2: Convert to fraction form
    812.33/1,219.10 = 447.42/x
  3. Step 3: Cross multiply
    812.33x = 1,219.10 × 447.42
  4. Step 4: Simplify right side
    812.33x = 545,449.72
  5. Step 5: Solve for x
    x = 545,449.72/812.33
  6. Step 6: Final answer
    x = 671.46

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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.