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Finding the Fourth Proportional to 426.42, 636.48 and 396.39

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Solution

The fourth proportional to 426.42, 636.48 and 396.39 is: 591.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    426.42 : 636.48 = 396.39 : x
  2. Step 2: Convert to fraction form
    426.42/636.48 = 396.39/x
  3. Step 3: Cross multiply
    426.42x = 636.48 × 396.39
  4. Step 4: Simplify right side
    426.42x = 252,294.31
  5. Step 5: Solve for x
    x = 252,294.31/426.42
  6. Step 6: Final answer
    x = 591.66

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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.