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Finding the Fourth Proportional to 1,768.62, 2,653.09 and 728.38

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Solution

The fourth proportional to 1,768.62, 2,653.09 and 728.38 is: 1,092.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,768.62 : 2,653.09 = 728.38 : x
  2. Step 2: Convert to fraction form
    1,768.62/2,653.09 = 728.38/x
  3. Step 3: Cross multiply
    1,768.62x = 2,653.09 × 728.38
  4. Step 4: Simplify right side
    1,768.62x = 1,932,457.69
  5. Step 5: Solve for x
    x = 1,932,457.69/1,768.62
  6. Step 6: Final answer
    x = 1,092.64

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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.