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Finding the Fourth Proportional to 644.20, 887.96 and 466.82

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Solution

The fourth proportional to 644.20, 887.96 and 466.82 is: 643.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    644.20 : 887.96 = 466.82 : x
  2. Step 2: Convert to fraction form
    644.20/887.96 = 466.82/x
  3. Step 3: Cross multiply
    644.20x = 887.96 × 466.82
  4. Step 4: Simplify right side
    644.20x = 414,517.49
  5. Step 5: Solve for x
    x = 414,517.49/644.20
  6. Step 6: Final answer
    x = 643.46

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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.