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Finding the Fourth Proportional to 778.54, 1,168.47 and 413.14

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Solution

The fourth proportional to 778.54, 1,168.47 and 413.14 is: 620.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    778.54 : 1,168.47 = 413.14 : x
  2. Step 2: Convert to fraction form
    778.54/1,168.47 = 413.14/x
  3. Step 3: Cross multiply
    778.54x = 1,168.47 × 413.14
  4. Step 4: Simplify right side
    778.54x = 482,741.70
  5. Step 5: Solve for x
    x = 482,741.70/778.54
  6. Step 6: Final answer
    x = 620.06

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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.