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Finding the Fourth Proportional to 798.37, 1,197.96 and 413.62

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Solution

The fourth proportional to 798.37, 1,197.96 and 413.62 is: 620.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    798.37 : 1,197.96 = 413.62 : x
  2. Step 2: Convert to fraction form
    798.37/1,197.96 = 413.62/x
  3. Step 3: Cross multiply
    798.37x = 1,197.96 × 413.62
  4. Step 4: Simplify right side
    798.37x = 495,500.22
  5. Step 5: Solve for x
    x = 495,500.22/798.37
  6. Step 6: Final answer
    x = 620.64

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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.