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Finding the Fourth Proportional to 603.92, 906.14 and 329.68

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Solution

The fourth proportional to 603.92, 906.14 and 329.68 is: 494.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    603.92 : 906.14 = 329.68 : x
  2. Step 2: Convert to fraction form
    603.92/906.14 = 329.68/x
  3. Step 3: Cross multiply
    603.92x = 906.14 × 329.68
  4. Step 4: Simplify right side
    603.92x = 298,736.24
  5. Step 5: Solve for x
    x = 298,736.24/603.92
  6. Step 6: Final answer
    x = 494.66

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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.