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Finding the Fourth Proportional to 413.76, 616.20 and 399.39

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Solution

The fourth proportional to 413.76, 616.20 and 399.39 is: 594.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.76 : 616.20 = 399.39 : x
  2. Step 2: Convert to fraction form
    413.76/616.20 = 399.39/x
  3. Step 3: Cross multiply
    413.76x = 616.20 × 399.39
  4. Step 4: Simplify right side
    413.76x = 246,104.12
  5. Step 5: Solve for x
    x = 246,104.12/413.76
  6. Step 6: Final answer
    x = 594.80

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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.