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Finding the Fourth Proportional to 798.80, 1,196.01 and 413.24

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Solution

The fourth proportional to 798.80, 1,196.01 and 413.24 is: 618.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    798.80 : 1,196.01 = 413.24 : x
  2. Step 2: Convert to fraction form
    798.80/1,196.01 = 413.24/x
  3. Step 3: Cross multiply
    798.80x = 1,196.01 × 413.24
  4. Step 4: Simplify right side
    798.80x = 494,233.19
  5. Step 5: Solve for x
    x = 494,233.19/798.80
  6. Step 6: Final answer
    x = 618.72

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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.