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Finding the Fourth Proportional to 413.36, 617.42 and 348.56

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Solution

The fourth proportional to 413.36, 617.42 and 348.56 is: 520.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.36 : 617.42 = 348.56 : x
  2. Step 2: Convert to fraction form
    413.36/617.42 = 348.56/x
  3. Step 3: Cross multiply
    413.36x = 617.42 × 348.56
  4. Step 4: Simplify right side
    413.36x = 215,207.92
  5. Step 5: Solve for x
    x = 215,207.92/413.36
  6. Step 6: Final answer
    x = 520.63

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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.