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Finding the Fourth Proportional to 812.59, 1,218.31 and 422.44

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Solution

The fourth proportional to 812.59, 1,218.31 and 422.44 is: 633.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    812.59 : 1,218.31 = 422.44 : x
  2. Step 2: Convert to fraction form
    812.59/1,218.31 = 422.44/x
  3. Step 3: Cross multiply
    812.59x = 1,218.31 × 422.44
  4. Step 4: Simplify right side
    812.59x = 514,658.77
  5. Step 5: Solve for x
    x = 514,658.77/812.59
  6. Step 6: Final answer
    x = 633.36

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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.