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Finding the Fourth Proportional to 426.58, 636.43 and 380.41

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Solution

The fourth proportional to 426.58, 636.43 and 380.41 is: 567.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    426.58 : 636.43 = 380.41 : x
  2. Step 2: Convert to fraction form
    426.58/636.43 = 380.41/x
  3. Step 3: Cross multiply
    426.58x = 636.43 × 380.41
  4. Step 4: Simplify right side
    426.58x = 242,104.34
  5. Step 5: Solve for x
    x = 242,104.34/426.58
  6. Step 6: Final answer
    x = 567.55

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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.