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Finding the Fourth Proportional to 1,192.50, 1,786.62 and 729.18

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Solution

The fourth proportional to 1,192.50, 1,786.62 and 729.18 is: 1,092.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,192.50 : 1,786.62 = 729.18 : x
  2. Step 2: Convert to fraction form
    1,192.50/1,786.62 = 729.18/x
  3. Step 3: Cross multiply
    1,192.50x = 1,786.62 × 729.18
  4. Step 4: Simplify right side
    1,192.50x = 1,302,767.57
  5. Step 5: Solve for x
    x = 1,302,767.57/1,192.50
  6. Step 6: Final answer
    x = 1,092.47

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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.