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Finding the Fourth Proportional to 413.14, 566.39 and 405.84

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Solution

The fourth proportional to 413.14, 566.39 and 405.84 is: 556.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.14 : 566.39 = 405.84 : x
  2. Step 2: Convert to fraction form
    413.14/566.39 = 405.84/x
  3. Step 3: Cross multiply
    413.14x = 566.39 × 405.84
  4. Step 4: Simplify right side
    413.14x = 229,863.72
  5. Step 5: Solve for x
    x = 229,863.72/413.14
  6. Step 6: Final answer
    x = 556.38

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.