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Finding the Fourth Proportional to 539.71, 744.80 and 343.22

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Solution

The fourth proportional to 539.71, 744.80 and 343.22 is: 473.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    539.71 : 744.80 = 343.22 : x
  2. Step 2: Convert to fraction form
    539.71/744.80 = 343.22/x
  3. Step 3: Cross multiply
    539.71x = 744.80 × 343.22
  4. Step 4: Simplify right side
    539.71x = 255,628.54
  5. Step 5: Solve for x
    x = 255,628.54/539.71
  6. Step 6: Final answer
    x = 473.64

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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.