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Finding the Fourth Proportional to 1,196.90, 1,795.14 and 331

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Solution

The fourth proportional to 1,196.90, 1,795.14 and 331 is: 496.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,196.90 : 1,795.14 = 331 : x
  2. Step 2: Convert to fraction form
    1,196.90/1,795.14 = 331/x
  3. Step 3: Cross multiply
    1,196.90x = 1,795.14 × 331
  4. Step 4: Simplify right side
    1,196.90x = 594,191.34
  5. Step 5: Solve for x
    x = 594,191.34/1,196.90
  6. Step 6: Final answer
    x = 496.44

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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.