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Finding the Fourth Proportional to 797.87, 1,197.21 and 413.12

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Solution

The fourth proportional to 797.87, 1,197.21 and 413.12 is: 619.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    797.87 : 1,197.21 = 413.12 : x
  2. Step 2: Convert to fraction form
    797.87/1,197.21 = 413.12/x
  3. Step 3: Cross multiply
    797.87x = 1,197.21 × 413.12
  4. Step 4: Simplify right side
    797.87x = 494,591.40
  5. Step 5: Solve for x
    x = 494,591.40/797.87
  6. Step 6: Final answer
    x = 619.89

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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.