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Finding the Fourth Proportional to 481.13, 718.17 and 413.09

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Solution

The fourth proportional to 481.13, 718.17 and 413.09 is: 616.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    481.13 : 718.17 = 413.09 : x
  2. Step 2: Convert to fraction form
    481.13/718.17 = 413.09/x
  3. Step 3: Cross multiply
    481.13x = 718.17 × 413.09
  4. Step 4: Simplify right side
    481.13x = 296,665.25
  5. Step 5: Solve for x
    x = 296,665.25/481.13
  6. Step 6: Final answer
    x = 616.61

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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.