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Finding the Fourth Proportional to 678.20, 936.13 and 441.73

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Solution

The fourth proportional to 678.20, 936.13 and 441.73 is: 609.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    678.20 : 936.13 = 441.73 : x
  2. Step 2: Convert to fraction form
    678.20/936.13 = 441.73/x
  3. Step 3: Cross multiply
    678.20x = 936.13 × 441.73
  4. Step 4: Simplify right side
    678.20x = 413,515.94
  5. Step 5: Solve for x
    x = 413,515.94/678.20
  6. Step 6: Final answer
    x = 609.73

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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.