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Finding the Fourth Proportional to 1,196.50, 1,794.78 and 427

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Solution

The fourth proportional to 1,196.50, 1,794.78 and 427 is: 640.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,196.50 : 1,794.78 = 427 : x
  2. Step 2: Convert to fraction form
    1,196.50/1,794.78 = 427/x
  3. Step 3: Cross multiply
    1,196.50x = 1,794.78 × 427
  4. Step 4: Simplify right side
    1,196.50x = 766,371.06
  5. Step 5: Solve for x
    x = 766,371.06/1,196.50
  6. Step 6: Final answer
    x = 640.51

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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.