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Finding the Fourth Proportional to 852.42, 1,278.69 and 413.61

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Solution

The fourth proportional to 852.42, 1,278.69 and 413.61 is: 620.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    852.42 : 1,278.69 = 413.61 : x
  2. Step 2: Convert to fraction form
    852.42/1,278.69 = 413.61/x
  3. Step 3: Cross multiply
    852.42x = 1,278.69 × 413.61
  4. Step 4: Simplify right side
    852.42x = 528,872.62
  5. Step 5: Solve for x
    x = 528,872.62/852.42
  6. Step 6: Final answer
    x = 620.43

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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.