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Finding the Fourth Proportional to 599.30, 827.16 and 378.55

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Solution

The fourth proportional to 599.30, 827.16 and 378.55 is: 522.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    599.30 : 827.16 = 378.55 : x
  2. Step 2: Convert to fraction form
    599.30/827.16 = 378.55/x
  3. Step 3: Cross multiply
    599.30x = 827.16 × 378.55
  4. Step 4: Simplify right side
    599.30x = 313,121.42
  5. Step 5: Solve for x
    x = 313,121.42/599.30
  6. Step 6: Final answer
    x = 522.48

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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.