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Finding the Fourth Proportional to 591.82, 887.74 and 226.55

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Solution

The fourth proportional to 591.82, 887.74 and 226.55 is: 339.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    591.82 : 887.74 = 226.55 : x
  2. Step 2: Convert to fraction form
    591.82/887.74 = 226.55/x
  3. Step 3: Cross multiply
    591.82x = 887.74 × 226.55
  4. Step 4: Simplify right side
    591.82x = 201,119.15
  5. Step 5: Solve for x
    x = 201,119.15/591.82
  6. Step 6: Final answer
    x = 339.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.