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Finding the Fourth Proportional to 604.38, 834 and 342.39

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Solution

The fourth proportional to 604.38, 834 and 342.39 is: 472.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    604.38 : 834 = 342.39 : x
  2. Step 2: Convert to fraction form
    604.38/834 = 342.39/x
  3. Step 3: Cross multiply
    604.38x = 834 × 342.39
  4. Step 4: Simplify right side
    604.38x = 285,553.26
  5. Step 5: Solve for x
    x = 285,553.26/604.38
  6. Step 6: Final answer
    x = 472.47

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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.