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Finding the Fourth Proportional to 428.12, 636.97 and 426.68

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Solution

The fourth proportional to 428.12, 636.97 and 426.68 is: 634.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    428.12 : 636.97 = 426.68 : x
  2. Step 2: Convert to fraction form
    428.12/636.97 = 426.68/x
  3. Step 3: Cross multiply
    428.12x = 636.97 × 426.68
  4. Step 4: Simplify right side
    428.12x = 271,782.36
  5. Step 5: Solve for x
    x = 271,782.36/428.12
  6. Step 6: Final answer
    x = 634.83

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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.