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Finding the Fourth Proportional to 603.97, 905.99 and 295.97

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Solution

The fourth proportional to 603.97, 905.99 and 295.97 is: 443.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    603.97 : 905.99 = 295.97 : x
  2. Step 2: Convert to fraction form
    603.97/905.99 = 295.97/x
  3. Step 3: Cross multiply
    603.97x = 905.99 × 295.97
  4. Step 4: Simplify right side
    603.97x = 268,139.85
  5. Step 5: Solve for x
    x = 268,139.85/603.97
  6. Step 6: Final answer
    x = 443.96

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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.