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Finding the Fourth Proportional to 489.44, 733.34 and 427.88

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Solution

The fourth proportional to 489.44, 733.34 and 427.88 is: 641.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    489.44 : 733.34 = 427.88 : x
  2. Step 2: Convert to fraction form
    489.44/733.34 = 427.88/x
  3. Step 3: Cross multiply
    489.44x = 733.34 × 427.88
  4. Step 4: Simplify right side
    489.44x = 313,781.52
  5. Step 5: Solve for x
    x = 313,781.52/489.44
  6. Step 6: Final answer
    x = 641.10

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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.