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Finding the Fourth Proportional to 599.24, 825.27 and 494.75

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Solution

The fourth proportional to 599.24, 825.27 and 494.75 is: 681.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    599.24 : 825.27 = 494.75 : x
  2. Step 2: Convert to fraction form
    599.24/825.27 = 494.75/x
  3. Step 3: Cross multiply
    599.24x = 825.27 × 494.75
  4. Step 4: Simplify right side
    599.24x = 408,302.33
  5. Step 5: Solve for x
    x = 408,302.33/599.24
  6. Step 6: Final answer
    x = 681.37

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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.