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Finding the Fourth Proportional to 599.49, 827.31 and 363.48

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Solution

The fourth proportional to 599.49, 827.31 and 363.48 is: 501.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    599.49 : 827.31 = 363.48 : x
  2. Step 2: Convert to fraction form
    599.49/827.31 = 363.48/x
  3. Step 3: Cross multiply
    599.49x = 827.31 × 363.48
  4. Step 4: Simplify right side
    599.49x = 300,710.64
  5. Step 5: Solve for x
    x = 300,710.64/599.49
  6. Step 6: Final answer
    x = 501.61

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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.