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Finding the Fourth Proportional to 604.67, 908.37 and 361.36

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Solution

The fourth proportional to 604.67, 908.37 and 361.36 is: 542.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    604.67 : 908.37 = 361.36 : x
  2. Step 2: Convert to fraction form
    604.67/908.37 = 361.36/x
  3. Step 3: Cross multiply
    604.67x = 908.37 × 361.36
  4. Step 4: Simplify right side
    604.67x = 328,246.31
  5. Step 5: Solve for x
    x = 328,246.31/604.67
  6. Step 6: Final answer
    x = 542.85

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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.