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Finding the Fourth Proportional to 603.54, 906.42 and 361.55

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Solution

The fourth proportional to 603.54, 906.42 and 361.55 is: 542.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    603.54 : 906.42 = 361.55 : x
  2. Step 2: Convert to fraction form
    603.54/906.42 = 361.55/x
  3. Step 3: Cross multiply
    603.54x = 906.42 × 361.55
  4. Step 4: Simplify right side
    603.54x = 327,717.05
  5. Step 5: Solve for x
    x = 327,717.05/603.54
  6. Step 6: Final answer
    x = 542.99

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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.