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Finding the Fourth Proportional to 578.81, 798.41 and 413.25

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Solution

The fourth proportional to 578.81, 798.41 and 413.25 is: 570.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.81 : 798.41 = 413.25 : x
  2. Step 2: Convert to fraction form
    578.81/798.41 = 413.25/x
  3. Step 3: Cross multiply
    578.81x = 798.41 × 413.25
  4. Step 4: Simplify right side
    578.81x = 329,943.14
  5. Step 5: Solve for x
    x = 329,943.14/578.81
  6. Step 6: Final answer
    x = 570.03

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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.