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Finding the Fourth Proportional to 451.26, 673.68 and 446.64

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Solution

The fourth proportional to 451.26, 673.68 and 446.64 is: 666.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    451.26 : 673.68 = 446.64 : x
  2. Step 2: Convert to fraction form
    451.26/673.68 = 446.64/x
  3. Step 3: Cross multiply
    451.26x = 673.68 × 446.64
  4. Step 4: Simplify right side
    451.26x = 300,892.44
  5. Step 5: Solve for x
    x = 300,892.44/451.26
  6. Step 6: Final answer
    x = 666.78

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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.