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Finding the Fourth Proportional to 429.79, 644.70 and 327.23

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Solution

The fourth proportional to 429.79, 644.70 and 327.23 is: 490.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    429.79 : 644.70 = 327.23 : x
  2. Step 2: Convert to fraction form
    429.79/644.70 = 327.23/x
  3. Step 3: Cross multiply
    429.79x = 644.70 × 327.23
  4. Step 4: Simplify right side
    429.79x = 210,965.18
  5. Step 5: Solve for x
    x = 210,965.18/429.79
  6. Step 6: Final answer
    x = 490.86

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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.