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Finding the Fourth Proportional to 778.15, 1,168.62 and 413.65

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Solution

The fourth proportional to 778.15, 1,168.62 and 413.65 is: 621.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    778.15 : 1,168.62 = 413.65 : x
  2. Step 2: Convert to fraction form
    778.15/1,168.62 = 413.65/x
  3. Step 3: Cross multiply
    778.15x = 1,168.62 × 413.65
  4. Step 4: Simplify right side
    778.15x = 483,399.66
  5. Step 5: Solve for x
    x = 483,399.66/778.15
  6. Step 6: Final answer
    x = 621.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.