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Finding the Fourth Proportional to 604.39, 905.35 and 315.35

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Solution

The fourth proportional to 604.39, 905.35 and 315.35 is: 472.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    604.39 : 905.35 = 315.35 : x
  2. Step 2: Convert to fraction form
    604.39/905.35 = 315.35/x
  3. Step 3: Cross multiply
    604.39x = 905.35 × 315.35
  4. Step 4: Simplify right side
    604.39x = 285,500.55
  5. Step 5: Solve for x
    x = 285,500.55/604.39
  6. Step 6: Final answer
    x = 472.38

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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.