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Finding the Fourth Proportional to 604.81, 905.39 and 398.73

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Solution

The fourth proportional to 604.81, 905.39 and 398.73 is: 596.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    604.81 : 905.39 = 398.73 : x
  2. Step 2: Convert to fraction form
    604.81/905.39 = 398.73/x
  3. Step 3: Cross multiply
    604.81x = 905.39 × 398.73
  4. Step 4: Simplify right side
    604.81x = 361,004.16
  5. Step 5: Solve for x
    x = 361,004.16/604.81
  6. Step 6: Final answer
    x = 596.89

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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.