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Finding the Fourth Proportional to 604.11, 905.85 and 398.79

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Solution

The fourth proportional to 604.11, 905.85 and 398.79 is: 597.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    604.11 : 905.85 = 398.79 : x
  2. Step 2: Convert to fraction form
    604.11/905.85 = 398.79/x
  3. Step 3: Cross multiply
    604.11x = 905.85 × 398.79
  4. Step 4: Simplify right side
    604.11x = 361,243.92
  5. Step 5: Solve for x
    x = 361,243.92/604.11
  6. Step 6: Final answer
    x = 597.98

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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.