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Finding the Fourth Proportional to 797.66, 1,196.40 and 212.71

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Solution

The fourth proportional to 797.66, 1,196.40 and 212.71 is: 319.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    797.66 : 1,196.40 = 212.71 : x
  2. Step 2: Convert to fraction form
    797.66/1,196.40 = 212.71/x
  3. Step 3: Cross multiply
    797.66x = 1,196.40 × 212.71
  4. Step 4: Simplify right side
    797.66x = 254,481.09
  5. Step 5: Solve for x
    x = 254,481.09/797.66
  6. Step 6: Final answer
    x = 319.03

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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.