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Finding the Fourth Proportional to 457.74, 682.56 and 426.96

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Solution

The fourth proportional to 457.74, 682.56 and 426.96 is: 636.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    457.74 : 682.56 = 426.96 : x
  2. Step 2: Convert to fraction form
    457.74/682.56 = 426.96/x
  3. Step 3: Cross multiply
    457.74x = 682.56 × 426.96
  4. Step 4: Simplify right side
    457.74x = 291,425.82
  5. Step 5: Solve for x
    x = 291,425.82/457.74
  6. Step 6: Final answer
    x = 636.66

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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.