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Finding the Fourth Proportional to 446.97, 617.09 and 354.09

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Solution

The fourth proportional to 446.97, 617.09 and 354.09 is: 488.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    446.97 : 617.09 = 354.09 : x
  2. Step 2: Convert to fraction form
    446.97/617.09 = 354.09/x
  3. Step 3: Cross multiply
    446.97x = 617.09 × 354.09
  4. Step 4: Simplify right side
    446.97x = 218,505.40
  5. Step 5: Solve for x
    x = 218,505.40/446.97
  6. Step 6: Final answer
    x = 488.86

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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.