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Finding the Fourth Proportional to 441.99, 664.11 and 417.15

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Solution

The fourth proportional to 441.99, 664.11 and 417.15 is: 626.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    441.99 : 664.11 = 417.15 : x
  2. Step 2: Convert to fraction form
    441.99/664.11 = 417.15/x
  3. Step 3: Cross multiply
    441.99x = 664.11 × 417.15
  4. Step 4: Simplify right side
    441.99x = 277,033.49
  5. Step 5: Solve for x
    x = 277,033.49/441.99
  6. Step 6: Final answer
    x = 626.79

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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.