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Finding the Fourth Proportional to 600.76, 827.94 and 489.88

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Solution

The fourth proportional to 600.76, 827.94 and 489.88 is: 675.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    600.76 : 827.94 = 489.88 : x
  2. Step 2: Convert to fraction form
    600.76/827.94 = 489.88/x
  3. Step 3: Cross multiply
    600.76x = 827.94 × 489.88
  4. Step 4: Simplify right side
    600.76x = 405,591.25
  5. Step 5: Solve for x
    x = 405,591.25/600.76
  6. Step 6: Final answer
    x = 675.13

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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.