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Finding the Fourth Proportional to 603.70, 905.54 and 329.21

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Solution

The fourth proportional to 603.70, 905.54 and 329.21 is: 493.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    603.70 : 905.54 = 329.21 : x
  2. Step 2: Convert to fraction form
    603.70/905.54 = 329.21/x
  3. Step 3: Cross multiply
    603.70x = 905.54 × 329.21
  4. Step 4: Simplify right side
    603.70x = 298,109.12
  5. Step 5: Solve for x
    x = 298,109.12/603.70
  6. Step 6: Final answer
    x = 493.81

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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.