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Finding the Fourth Proportional to 1,767.23, 2,651.76 and 728.00

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Solution

The fourth proportional to 1,767.23, 2,651.76 and 728.00 is: 1,092.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,767.23 : 2,651.76 = 728.00 : x
  2. Step 2: Convert to fraction form
    1,767.23/2,651.76 = 728.00/x
  3. Step 3: Cross multiply
    1,767.23x = 2,651.76 × 728.00
  4. Step 4: Simplify right side
    1,767.23x = 1,930,487.91
  5. Step 5: Solve for x
    x = 1,930,487.91/1,767.23
  6. Step 6: Final answer
    x = 1,092.38

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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.