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Finding the Fourth Proportional to 462.79, 694.41 and 219.49

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Solution

The fourth proportional to 462.79, 694.41 and 219.49 is: 329.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.79 : 694.41 = 219.49 : x
  2. Step 2: Convert to fraction form
    462.79/694.41 = 219.49/x
  3. Step 3: Cross multiply
    462.79x = 694.41 × 219.49
  4. Step 4: Simplify right side
    462.79x = 152,416.05
  5. Step 5: Solve for x
    x = 152,416.05/462.79
  6. Step 6: Final answer
    x = 329.34

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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.