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Finding the Fourth Proportional to 413.84, 617.71 and 365.78

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Solution

The fourth proportional to 413.84, 617.71 and 365.78 is: 545.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.84 : 617.71 = 365.78 : x
  2. Step 2: Convert to fraction form
    413.84/617.71 = 365.78/x
  3. Step 3: Cross multiply
    413.84x = 617.71 × 365.78
  4. Step 4: Simplify right side
    413.84x = 225,945.96
  5. Step 5: Solve for x
    x = 225,945.96/413.84
  6. Step 6: Final answer
    x = 545.97

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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.