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Finding the Fourth Proportional to 600.80, 828.78 and 413.96

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Solution

The fourth proportional to 600.80, 828.78 and 413.96 is: 571.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    600.80 : 828.78 = 413.96 : x
  2. Step 2: Convert to fraction form
    600.80/828.78 = 413.96/x
  3. Step 3: Cross multiply
    600.80x = 828.78 × 413.96
  4. Step 4: Simplify right side
    600.80x = 343,081.77
  5. Step 5: Solve for x
    x = 343,081.77/600.80
  6. Step 6: Final answer
    x = 571.04

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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.