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Finding the Fourth Proportional to 416.70, 578.16 and 413.17

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Solution

The fourth proportional to 416.70, 578.16 and 413.17 is: 573.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.70 : 578.16 = 413.17 : x
  2. Step 2: Convert to fraction form
    416.70/578.16 = 413.17/x
  3. Step 3: Cross multiply
    416.70x = 578.16 × 413.17
  4. Step 4: Simplify right side
    416.70x = 238,878.37
  5. Step 5: Solve for x
    x = 238,878.37/416.70
  6. Step 6: Final answer
    x = 573.26

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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.