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Finding the Fourth Proportional to 892.22, 1,232.82 and 644.36

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Solution

The fourth proportional to 892.22, 1,232.82 and 644.36 is: 890.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    892.22 : 1,232.82 = 644.36 : x
  2. Step 2: Convert to fraction form
    892.22/1,232.82 = 644.36/x
  3. Step 3: Cross multiply
    892.22x = 1,232.82 × 644.36
  4. Step 4: Simplify right side
    892.22x = 794,373.73
  5. Step 5: Solve for x
    x = 794,373.73/892.22
  6. Step 6: Final answer
    x = 890.34

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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.