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Finding the Fourth Proportional to 604.78, 834.37 and 447.74

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Solution

The fourth proportional to 604.78, 834.37 and 447.74 is: 617.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    604.78 : 834.37 = 447.74 : x
  2. Step 2: Convert to fraction form
    604.78/834.37 = 447.74/x
  3. Step 3: Cross multiply
    604.78x = 834.37 × 447.74
  4. Step 4: Simplify right side
    604.78x = 373,576.65
  5. Step 5: Solve for x
    x = 373,576.65/604.78
  6. Step 6: Final answer
    x = 617.71

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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.