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Finding the Fourth Proportional to 539, 804.31 and 490.36

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Solution

The fourth proportional to 539, 804.31 and 490.36 is: 731.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    539 : 804.31 = 490.36 : x
  2. Step 2: Convert to fraction form
    539/804.31 = 490.36/x
  3. Step 3: Cross multiply
    539x = 804.31 × 490.36
  4. Step 4: Simplify right side
    539x = 394,401.45
  5. Step 5: Solve for x
    x = 394,401.45/539
  6. Step 6: Final answer
    x = 731.73

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.