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Finding the Fourth Proportional to 451.44, 671.34 and 446.64

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Solution

The fourth proportional to 451.44, 671.34 and 446.64 is: 664.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    451.44 : 671.34 = 446.64 : x
  2. Step 2: Convert to fraction form
    451.44/671.34 = 446.64/x
  3. Step 3: Cross multiply
    451.44x = 671.34 × 446.64
  4. Step 4: Simplify right side
    451.44x = 299,847.30
  5. Step 5: Solve for x
    x = 299,847.30/451.44
  6. Step 6: Final answer
    x = 664.20

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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.