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Finding the Fourth Proportional to 503.87, 755.78 and 229.89

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Solution

The fourth proportional to 503.87, 755.78 and 229.89 is: 344.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    503.87 : 755.78 = 229.89 : x
  2. Step 2: Convert to fraction form
    503.87/755.78 = 229.89/x
  3. Step 3: Cross multiply
    503.87x = 755.78 × 229.89
  4. Step 4: Simplify right side
    503.87x = 173,745.11
  5. Step 5: Solve for x
    x = 173,745.11/503.87
  6. Step 6: Final answer
    x = 344.82

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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.