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Finding the Fourth Proportional to 539.08, 744.20 and 408.68

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Solution

The fourth proportional to 539.08, 744.20 and 408.68 is: 564.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    539.08 : 744.20 = 408.68 : x
  2. Step 2: Convert to fraction form
    539.08/744.20 = 408.68/x
  3. Step 3: Cross multiply
    539.08x = 744.20 × 408.68
  4. Step 4: Simplify right side
    539.08x = 304,139.66
  5. Step 5: Solve for x
    x = 304,139.66/539.08
  6. Step 6: Final answer
    x = 564.18

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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.