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Finding the Fourth Proportional to 636.72, 878.40 and 426.68

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Solution

The fourth proportional to 636.72, 878.40 and 426.68 is: 588.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    636.72 : 878.40 = 426.68 : x
  2. Step 2: Convert to fraction form
    636.72/878.40 = 426.68/x
  3. Step 3: Cross multiply
    636.72x = 878.40 × 426.68
  4. Step 4: Simplify right side
    636.72x = 374,795.71
  5. Step 5: Solve for x
    x = 374,795.71/636.72
  6. Step 6: Final answer
    x = 588.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.