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Finding the Fourth Proportional to 451.82, 672.78 and 446.34

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Solution

The fourth proportional to 451.82, 672.78 and 446.34 is: 664.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    451.82 : 672.78 = 446.34 : x
  2. Step 2: Convert to fraction form
    451.82/672.78 = 446.34/x
  3. Step 3: Cross multiply
    451.82x = 672.78 × 446.34
  4. Step 4: Simplify right side
    451.82x = 300,288.63
  5. Step 5: Solve for x
    x = 300,288.63/451.82
  6. Step 6: Final answer
    x = 664.63

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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.