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Finding the Fourth Proportional to 416.44, 568.86 and 413.74

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Solution

The fourth proportional to 416.44, 568.86 and 413.74 is: 565.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.44 : 568.86 = 413.74 : x
  2. Step 2: Convert to fraction form
    416.44/568.86 = 413.74/x
  3. Step 3: Cross multiply
    416.44x = 568.86 × 413.74
  4. Step 4: Simplify right side
    416.44x = 235,360.14
  5. Step 5: Solve for x
    x = 235,360.14/416.44
  6. Step 6: Final answer
    x = 565.17

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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.