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Finding the Fourth Proportional to 539.80, 745.03 and 343.27

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Solution

The fourth proportional to 539.80, 745.03 and 343.27 is: 473.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    539.80 : 745.03 = 343.27 : x
  2. Step 2: Convert to fraction form
    539.80/745.03 = 343.27/x
  3. Step 3: Cross multiply
    539.80x = 745.03 × 343.27
  4. Step 4: Simplify right side
    539.80x = 255,747.81
  5. Step 5: Solve for x
    x = 255,747.81/539.80
  6. Step 6: Final answer
    x = 473.78

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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.