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Finding the Fourth Proportional to 539.73, 745.44 and 393.02

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Solution

The fourth proportional to 539.73, 745.44 and 393.02 is: 542.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    539.73 : 745.44 = 393.02 : x
  2. Step 2: Convert to fraction form
    539.73/745.44 = 393.02/x
  3. Step 3: Cross multiply
    539.73x = 745.44 × 393.02
  4. Step 4: Simplify right side
    539.73x = 292,972.83
  5. Step 5: Solve for x
    x = 292,972.83/539.73
  6. Step 6: Final answer
    x = 542.81

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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.