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Finding the Fourth Proportional to 539.24, 807.03 and 321.75

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Solution

The fourth proportional to 539.24, 807.03 and 321.75 is: 481.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    539.24 : 807.03 = 321.75 : x
  2. Step 2: Convert to fraction form
    539.24/807.03 = 321.75/x
  3. Step 3: Cross multiply
    539.24x = 807.03 × 321.75
  4. Step 4: Simplify right side
    539.24x = 259,661.90
  5. Step 5: Solve for x
    x = 259,661.90/539.24
  6. Step 6: Final answer
    x = 481.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.