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Finding the Fourth Proportional to 1,768.32, 2,651.46 and 729.04

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Solution

The fourth proportional to 1,768.32, 2,651.46 and 729.04 is: 1,093.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,768.32 : 2,651.46 = 729.04 : x
  2. Step 2: Convert to fraction form
    1,768.32/2,651.46 = 729.04/x
  3. Step 3: Cross multiply
    1,768.32x = 2,651.46 × 729.04
  4. Step 4: Simplify right side
    1,768.32x = 1,933,007.14
  5. Step 5: Solve for x
    x = 1,933,007.14/1,768.32
  6. Step 6: Final answer
    x = 1,093.14

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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.