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Finding the Fourth Proportional to 604.38, 908.09 and 385.10

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Solution

The fourth proportional to 604.38, 908.09 and 385.10 is: 578.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    604.38 : 908.09 = 385.10 : x
  2. Step 2: Convert to fraction form
    604.38/908.09 = 385.10/x
  3. Step 3: Cross multiply
    604.38x = 908.09 × 385.10
  4. Step 4: Simplify right side
    604.38x = 349,707.25
  5. Step 5: Solve for x
    x = 349,707.25/604.38
  6. Step 6: Final answer
    x = 578.62

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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.