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Finding the Fourth Proportional to 600.12, 827.42 and 378.99

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Solution

The fourth proportional to 600.12, 827.42 and 378.99 is: 522.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    600.12 : 827.42 = 378.99 : x
  2. Step 2: Convert to fraction form
    600.12/827.42 = 378.99/x
  3. Step 3: Cross multiply
    600.12x = 827.42 × 378.99
  4. Step 4: Simplify right side
    600.12x = 313,582.01
  5. Step 5: Solve for x
    x = 313,582.01/600.12
  6. Step 6: Final answer
    x = 522.53

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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.