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Finding the Fourth Proportional to 1,252.27, 1,727.00 and 803.62

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Solution

The fourth proportional to 1,252.27, 1,727.00 and 803.62 is: 1,108.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,252.27 : 1,727.00 = 803.62 : x
  2. Step 2: Convert to fraction form
    1,252.27/1,727.00 = 803.62/x
  3. Step 3: Cross multiply
    1,252.27x = 1,727.00 × 803.62
  4. Step 4: Simplify right side
    1,252.27x = 1,387,849.43
  5. Step 5: Solve for x
    x = 1,387,849.43/1,252.27
  6. Step 6: Final answer
    x = 1,108.27

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.