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Finding the Fourth Proportional to 457.92, 682.97 and 441.72

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Solution

The fourth proportional to 457.92, 682.97 and 441.72 is: 658.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    457.92 : 682.97 = 441.72 : x
  2. Step 2: Convert to fraction form
    457.92/682.97 = 441.72/x
  3. Step 3: Cross multiply
    457.92x = 682.97 × 441.72
  4. Step 4: Simplify right side
    457.92x = 301,679.30
  5. Step 5: Solve for x
    x = 301,679.30/457.92
  6. Step 6: Final answer
    x = 658.80

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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.