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Finding the Fourth Proportional to 599.97, 827.61 and 403.75

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Solution

The fourth proportional to 599.97, 827.61 and 403.75 is: 556.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    599.97 : 827.61 = 403.75 : x
  2. Step 2: Convert to fraction form
    599.97/827.61 = 403.75/x
  3. Step 3: Cross multiply
    599.97x = 827.61 × 403.75
  4. Step 4: Simplify right side
    599.97x = 334,147.54
  5. Step 5: Solve for x
    x = 334,147.54/599.97
  6. Step 6: Final answer
    x = 556.94

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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.