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Finding the Fourth Proportional to 539.94, 745.81 and 413.14

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Solution

The fourth proportional to 539.94, 745.81 and 413.14 is: 570.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    539.94 : 745.81 = 413.14 : x
  2. Step 2: Convert to fraction form
    539.94/745.81 = 413.14/x
  3. Step 3: Cross multiply
    539.94x = 745.81 × 413.14
  4. Step 4: Simplify right side
    539.94x = 308,120.75
  5. Step 5: Solve for x
    x = 308,120.75/539.94
  6. Step 6: Final answer
    x = 570.65

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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.