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Finding the Fourth Proportional to 539.60, 744.79 and 329.81

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Solution

The fourth proportional to 539.60, 744.79 and 329.81 is: 455.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    539.60 : 744.79 = 329.81 : x
  2. Step 2: Convert to fraction form
    539.60/744.79 = 329.81/x
  3. Step 3: Cross multiply
    539.60x = 744.79 × 329.81
  4. Step 4: Simplify right side
    539.60x = 245,640.23
  5. Step 5: Solve for x
    x = 245,640.23/539.60
  6. Step 6: Final answer
    x = 455.22

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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.