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Finding the Fourth Proportional to 599.84, 827.96 and 378.78

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Solution

The fourth proportional to 599.84, 827.96 and 378.78 is: 522.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    599.84 : 827.96 = 378.78 : x
  2. Step 2: Convert to fraction form
    599.84/827.96 = 378.78/x
  3. Step 3: Cross multiply
    599.84x = 827.96 × 378.78
  4. Step 4: Simplify right side
    599.84x = 313,614.69
  5. Step 5: Solve for x
    x = 313,614.69/599.84
  6. Step 6: Final answer
    x = 522.83

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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.