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Finding the Fourth Proportional to 413.97, 617.23 and 399.66

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Solution

The fourth proportional to 413.97, 617.23 and 399.66 is: 595.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.97 : 617.23 = 399.66 : x
  2. Step 2: Convert to fraction form
    413.97/617.23 = 399.66/x
  3. Step 3: Cross multiply
    413.97x = 617.23 × 399.66
  4. Step 4: Simplify right side
    413.97x = 246,682.14
  5. Step 5: Solve for x
    x = 246,682.14/413.97
  6. Step 6: Final answer
    x = 595.89

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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.