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Finding the Fourth Proportional to 797.09, 1,195.29 and 309.80

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Solution

The fourth proportional to 797.09, 1,195.29 and 309.80 is: 464.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    797.09 : 1,195.29 = 309.80 : x
  2. Step 2: Convert to fraction form
    797.09/1,195.29 = 309.80/x
  3. Step 3: Cross multiply
    797.09x = 1,195.29 × 309.80
  4. Step 4: Simplify right side
    797.09x = 370,303.83
  5. Step 5: Solve for x
    x = 370,303.83/797.09
  6. Step 6: Final answer
    x = 464.57

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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.