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Finding the Fourth Proportional to 539.73, 808.07 and 488.48

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Solution

The fourth proportional to 539.73, 808.07 and 488.48 is: 731.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    539.73 : 808.07 = 488.48 : x
  2. Step 2: Convert to fraction form
    539.73/808.07 = 488.48/x
  3. Step 3: Cross multiply
    539.73x = 808.07 × 488.48
  4. Step 4: Simplify right side
    539.73x = 394,719.55
  5. Step 5: Solve for x
    x = 394,719.55/539.73
  6. Step 6: Final answer
    x = 731.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.