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Finding the Fourth Proportional to 488.44, 733.27 and 379.09

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Solution

The fourth proportional to 488.44, 733.27 and 379.09 is: 569.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    488.44 : 733.27 = 379.09 : x
  2. Step 2: Convert to fraction form
    488.44/733.27 = 379.09/x
  3. Step 3: Cross multiply
    488.44x = 733.27 × 379.09
  4. Step 4: Simplify right side
    488.44x = 277,975.32
  5. Step 5: Solve for x
    x = 277,975.32/488.44
  6. Step 6: Final answer
    x = 569.11

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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.