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Finding the Fourth Proportional to 426.47, 636.42 and 380.33

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Solution

The fourth proportional to 426.47, 636.42 and 380.33 is: 567.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    426.47 : 636.42 = 380.33 : x
  2. Step 2: Convert to fraction form
    426.47/636.42 = 380.33/x
  3. Step 3: Cross multiply
    426.47x = 636.42 × 380.33
  4. Step 4: Simplify right side
    426.47x = 242,046.44
  5. Step 5: Solve for x
    x = 242,046.44/426.47
  6. Step 6: Final answer
    x = 567.56

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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.