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Finding the Fourth Proportional to 539.81, 744.97 and 353.80

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Solution

The fourth proportional to 539.81, 744.97 and 353.80 is: 488.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    539.81 : 744.97 = 353.80 : x
  2. Step 2: Convert to fraction form
    539.81/744.97 = 353.80/x
  3. Step 3: Cross multiply
    539.81x = 744.97 × 353.80
  4. Step 4: Simplify right side
    539.81x = 263,572.09
  5. Step 5: Solve for x
    x = 263,572.09/539.81
  6. Step 6: Final answer
    x = 488.26

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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.