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Finding the Fourth Proportional to 426.87, 636.93 and 381.78

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Solution

The fourth proportional to 426.87, 636.93 and 381.78 is: 569.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    426.87 : 636.93 = 381.78 : x
  2. Step 2: Convert to fraction form
    426.87/636.93 = 381.78/x
  3. Step 3: Cross multiply
    426.87x = 636.93 × 381.78
  4. Step 4: Simplify right side
    426.87x = 243,167.14
  5. Step 5: Solve for x
    x = 243,167.14/426.87
  6. Step 6: Final answer
    x = 569.65

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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.