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Finding the Fourth Proportional to 843.81, 1,163.05 and 622.41

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Solution

The fourth proportional to 843.81, 1,163.05 and 622.41 is: 857.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    843.81 : 1,163.05 = 622.41 : x
  2. Step 2: Convert to fraction form
    843.81/1,163.05 = 622.41/x
  3. Step 3: Cross multiply
    843.81x = 1,163.05 × 622.41
  4. Step 4: Simplify right side
    843.81x = 723,893.95
  5. Step 5: Solve for x
    x = 723,893.95/843.81
  6. Step 6: Final answer
    x = 857.89

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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.