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Finding the Fourth Proportional to 603.82, 833.41 and 404.94

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Solution

The fourth proportional to 603.82, 833.41 and 404.94 is: 558.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    603.82 : 833.41 = 404.94 : x
  2. Step 2: Convert to fraction form
    603.82/833.41 = 404.94/x
  3. Step 3: Cross multiply
    603.82x = 833.41 × 404.94
  4. Step 4: Simplify right side
    603.82x = 337,481.05
  5. Step 5: Solve for x
    x = 337,481.05/603.82
  6. Step 6: Final answer
    x = 558.91

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.