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Finding the Fourth Proportional to 572.27, 789.44 and 362.09

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Solution

The fourth proportional to 572.27, 789.44 and 362.09 is: 499.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    572.27 : 789.44 = 362.09 : x
  2. Step 2: Convert to fraction form
    572.27/789.44 = 362.09/x
  3. Step 3: Cross multiply
    572.27x = 789.44 × 362.09
  4. Step 4: Simplify right side
    572.27x = 285,844.55
  5. Step 5: Solve for x
    x = 285,844.55/572.27
  6. Step 6: Final answer
    x = 499.50

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.