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Finding the Fourth Proportional to 578.98, 799.57 and 413.54

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Solution

The fourth proportional to 578.98, 799.57 and 413.54 is: 571.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.98 : 799.57 = 413.54 : x
  2. Step 2: Convert to fraction form
    578.98/799.57 = 413.54/x
  3. Step 3: Cross multiply
    578.98x = 799.57 × 413.54
  4. Step 4: Simplify right side
    578.98x = 330,653.70
  5. Step 5: Solve for x
    x = 330,653.70/578.98
  6. Step 6: Final answer
    x = 571.10

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.