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Finding the Fourth Proportional to 599.42, 827.80 and 378.61

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Solution

The fourth proportional to 599.42, 827.80 and 378.61 is: 522.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    599.42 : 827.80 = 378.61 : x
  2. Step 2: Convert to fraction form
    599.42/827.80 = 378.61/x
  3. Step 3: Cross multiply
    599.42x = 827.80 × 378.61
  4. Step 4: Simplify right side
    599.42x = 313,410.34
  5. Step 5: Solve for x
    x = 313,410.34/599.42
  6. Step 6: Final answer
    x = 522.85

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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.