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Finding the Fourth Proportional to 446.44, 663.89 and 441.64

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Solution

The fourth proportional to 446.44, 663.89 and 441.64 is: 656.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    446.44 : 663.89 = 441.64 : x
  2. Step 2: Convert to fraction form
    446.44/663.89 = 441.64/x
  3. Step 3: Cross multiply
    446.44x = 663.89 × 441.64
  4. Step 4: Simplify right side
    446.44x = 293,200.38
  5. Step 5: Solve for x
    x = 293,200.38/446.44
  6. Step 6: Final answer
    x = 656.75

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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.