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Finding the Fourth Proportional to 479.27, 662.26 and 413.66

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Solution

The fourth proportional to 479.27, 662.26 and 413.66 is: 571.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    479.27 : 662.26 = 413.66 : x
  2. Step 2: Convert to fraction form
    479.27/662.26 = 413.66/x
  3. Step 3: Cross multiply
    479.27x = 662.26 × 413.66
  4. Step 4: Simplify right side
    479.27x = 273,946.98
  5. Step 5: Solve for x
    x = 273,946.98/479.27
  6. Step 6: Final answer
    x = 571.60

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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.