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Finding the Fourth Proportional to 797.63, 1,195.36 and 413.15

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Solution

The fourth proportional to 797.63, 1,195.36 and 413.15 is: 619.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    797.63 : 1,195.36 = 413.15 : x
  2. Step 2: Convert to fraction form
    797.63/1,195.36 = 413.15/x
  3. Step 3: Cross multiply
    797.63x = 1,195.36 × 413.15
  4. Step 4: Simplify right side
    797.63x = 493,862.98
  5. Step 5: Solve for x
    x = 493,862.98/797.63
  6. Step 6: Final answer
    x = 619.16

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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.