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Finding the Fourth Proportional to 600.43, 827.90 and 489.56

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Solution

The fourth proportional to 600.43, 827.90 and 489.56 is: 675.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    600.43 : 827.90 = 489.56 : x
  2. Step 2: Convert to fraction form
    600.43/827.90 = 489.56/x
  3. Step 3: Cross multiply
    600.43x = 827.90 × 489.56
  4. Step 4: Simplify right side
    600.43x = 405,302.58
  5. Step 5: Solve for x
    x = 405,302.58/600.43
  6. Step 6: Final answer
    x = 675.03

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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.