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Finding the Fourth Proportional to 604.42, 834.09 and 355.71

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Solution

The fourth proportional to 604.42, 834.09 and 355.71 is: 490.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    604.42 : 834.09 = 355.71 : x
  2. Step 2: Convert to fraction form
    604.42/834.09 = 355.71/x
  3. Step 3: Cross multiply
    604.42x = 834.09 × 355.71
  4. Step 4: Simplify right side
    604.42x = 296,694.15
  5. Step 5: Solve for x
    x = 296,694.15/604.42
  6. Step 6: Final answer
    x = 490.87

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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.