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Finding the Fourth Proportional to 446.33, 664.61 and 441.44

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Solution

The fourth proportional to 446.33, 664.61 and 441.44 is: 657.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    446.33 : 664.61 = 441.44 : x
  2. Step 2: Convert to fraction form
    446.33/664.61 = 441.44/x
  3. Step 3: Cross multiply
    446.33x = 664.61 × 441.44
  4. Step 4: Simplify right side
    446.33x = 293,379.91
  5. Step 5: Solve for x
    x = 293,379.91/446.33
  6. Step 6: Final answer
    x = 657.32

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.