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Finding the Fourth Proportional to 539.70, 745.83 and 408.48

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Solution

The fourth proportional to 539.70, 745.83 and 408.48 is: 564.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    539.70 : 745.83 = 408.48 : x
  2. Step 2: Convert to fraction form
    539.70/745.83 = 408.48/x
  3. Step 3: Cross multiply
    539.70x = 745.83 × 408.48
  4. Step 4: Simplify right side
    539.70x = 304,656.64
  5. Step 5: Solve for x
    x = 304,656.64/539.70
  6. Step 6: Final answer
    x = 564.49

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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.