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Finding the Fourth Proportional to 604.03, 905.86 and 315.31

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Solution

The fourth proportional to 604.03, 905.86 and 315.31 is: 472.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    604.03 : 905.86 = 315.31 : x
  2. Step 2: Convert to fraction form
    604.03/905.86 = 315.31/x
  3. Step 3: Cross multiply
    604.03x = 905.86 × 315.31
  4. Step 4: Simplify right side
    604.03x = 285,626.72
  5. Step 5: Solve for x
    x = 285,626.72/604.03
  6. Step 6: Final answer
    x = 472.87

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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.