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Finding the Fourth Proportional to 457.38, 682.29 and 415.44

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Solution

The fourth proportional to 457.38, 682.29 and 415.44 is: 619.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    457.38 : 682.29 = 415.44 : x
  2. Step 2: Convert to fraction form
    457.38/682.29 = 415.44/x
  3. Step 3: Cross multiply
    457.38x = 682.29 × 415.44
  4. Step 4: Simplify right side
    457.38x = 283,450.56
  5. Step 5: Solve for x
    x = 283,450.56/457.38
  6. Step 6: Final answer
    x = 619.73

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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.