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Finding the Fourth Proportional to 600.30, 825.21 and 540.90

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Solution

The fourth proportional to 600.30, 825.21 and 540.90 is: 743.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    600.30 : 825.21 = 540.90 : x
  2. Step 2: Convert to fraction form
    600.30/825.21 = 540.90/x
  3. Step 3: Cross multiply
    600.30x = 825.21 × 540.90
  4. Step 4: Simplify right side
    600.30x = 446,356.09
  5. Step 5: Solve for x
    x = 446,356.09/600.30
  6. Step 6: Final answer
    x = 743.56

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.