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Finding the Fourth Proportional to 603.82, 905.83 and 193.06

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Solution

The fourth proportional to 603.82, 905.83 and 193.06 is: 289.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    603.82 : 905.83 = 193.06 : x
  2. Step 2: Convert to fraction form
    603.82/905.83 = 193.06/x
  3. Step 3: Cross multiply
    603.82x = 905.83 × 193.06
  4. Step 4: Simplify right side
    603.82x = 174,879.54
  5. Step 5: Solve for x
    x = 174,879.54/603.82
  6. Step 6: Final answer
    x = 289.62

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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.