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Finding the Fourth Proportional to 1,204.70, 1,640.12 and 1,193.90

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Solution

The fourth proportional to 1,204.70, 1,640.12 and 1,193.90 is: 1,625.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,204.70 : 1,640.12 = 1,193.90 : x
  2. Step 2: Convert to fraction form
    1,204.70/1,640.12 = 1,193.90/x
  3. Step 3: Cross multiply
    1,204.70x = 1,640.12 × 1,193.90
  4. Step 4: Simplify right side
    1,204.70x = 1,958,139.27
  5. Step 5: Solve for x
    x = 1,958,139.27/1,204.70
  6. Step 6: Final answer
    x = 1,625.42

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.