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Finding the Fourth Proportional to 539.49, 744.42 and 353.07

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Solution

The fourth proportional to 539.49, 744.42 and 353.07 is: 487.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    539.49 : 744.42 = 353.07 : x
  2. Step 2: Convert to fraction form
    539.49/744.42 = 353.07/x
  3. Step 3: Cross multiply
    539.49x = 744.42 × 353.07
  4. Step 4: Simplify right side
    539.49x = 262,832.37
  5. Step 5: Solve for x
    x = 262,832.37/539.49
  6. Step 6: Final answer
    x = 487.19

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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.