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Finding the Fourth Proportional to 812.44, 1,218.81 and 447.13

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Solution

The fourth proportional to 812.44, 1,218.81 and 447.13 is: 670.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    812.44 : 1,218.81 = 447.13 : x
  2. Step 2: Convert to fraction form
    812.44/1,218.81 = 447.13/x
  3. Step 3: Cross multiply
    812.44x = 1,218.81 × 447.13
  4. Step 4: Simplify right side
    812.44x = 544,966.52
  5. Step 5: Solve for x
    x = 544,966.52/812.44
  6. Step 6: Final answer
    x = 670.78

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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.