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Finding the Fourth Proportional to 548.80, 824.63 and 413.12

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Solution

The fourth proportional to 548.80, 824.63 and 413.12 is: 620.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    548.80 : 824.63 = 413.12 : x
  2. Step 2: Convert to fraction form
    548.80/824.63 = 413.12/x
  3. Step 3: Cross multiply
    548.80x = 824.63 × 413.12
  4. Step 4: Simplify right side
    548.80x = 340,671.14
  5. Step 5: Solve for x
    x = 340,671.14/548.80
  6. Step 6: Final answer
    x = 620.76

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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.