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Finding the Fourth Proportional to 1,168.83, 1,753.82 and 729.97

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Solution

The fourth proportional to 1,168.83, 1,753.82 and 729.97 is: 1,095.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,168.83 : 1,753.82 = 729.97 : x
  2. Step 2: Convert to fraction form
    1,168.83/1,753.82 = 729.97/x
  3. Step 3: Cross multiply
    1,168.83x = 1,753.82 × 729.97
  4. Step 4: Simplify right side
    1,168.83x = 1,280,235.99
  5. Step 5: Solve for x
    x = 1,280,235.99/1,168.83
  6. Step 6: Final answer
    x = 1,095.31

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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.