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Finding the Fourth Proportional to 797.84, 1,196.78 and 220.71

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Solution

The fourth proportional to 797.84, 1,196.78 and 220.71 is: 331.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    797.84 : 1,196.78 = 220.71 : x
  2. Step 2: Convert to fraction form
    797.84/1,196.78 = 220.71/x
  3. Step 3: Cross multiply
    797.84x = 1,196.78 × 220.71
  4. Step 4: Simplify right side
    797.84x = 264,140.21
  5. Step 5: Solve for x
    x = 264,140.21/797.84
  6. Step 6: Final answer
    x = 331.07

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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.