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Finding the Fourth Proportional to 778.40, 1,168.41 and 413.49

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Solution

The fourth proportional to 778.40, 1,168.41 and 413.49 is: 620.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    778.40 : 1,168.41 = 413.49 : x
  2. Step 2: Convert to fraction form
    778.40/1,168.41 = 413.49/x
  3. Step 3: Cross multiply
    778.40x = 1,168.41 × 413.49
  4. Step 4: Simplify right side
    778.40x = 483,125.85
  5. Step 5: Solve for x
    x = 483,125.85/778.40
  6. Step 6: Final answer
    x = 620.67

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1.5x scale

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.