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Finding the Fourth Proportional to 413.16, 573.89 and 406.54

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Solution

The fourth proportional to 413.16, 573.89 and 406.54 is: 564.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.16 : 573.89 = 406.54 : x
  2. Step 2: Convert to fraction form
    413.16/573.89 = 406.54/x
  3. Step 3: Cross multiply
    413.16x = 573.89 × 406.54
  4. Step 4: Simplify right side
    413.16x = 233,309.24
  5. Step 5: Solve for x
    x = 233,309.24/413.16
  6. Step 6: Final answer
    x = 564.69

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.