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Finding the Fourth Proportional to 413.68, 617.44 and 347.44

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Solution

The fourth proportional to 413.68, 617.44 and 347.44 is: 518.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.68 : 617.44 = 347.44 : x
  2. Step 2: Convert to fraction form
    413.68/617.44 = 347.44/x
  3. Step 3: Cross multiply
    413.68x = 617.44 × 347.44
  4. Step 4: Simplify right side
    413.68x = 214,523.35
  5. Step 5: Solve for x
    x = 214,523.35/413.68
  6. Step 6: Final answer
    x = 518.57

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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.