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Finding the Fourth Proportional to 803.27, 1,198.13 and 732.53

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Solution

The fourth proportional to 803.27, 1,198.13 and 732.53 is: 1,092.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    803.27 : 1,198.13 = 732.53 : x
  2. Step 2: Convert to fraction form
    803.27/1,198.13 = 732.53/x
  3. Step 3: Cross multiply
    803.27x = 1,198.13 × 732.53
  4. Step 4: Simplify right side
    803.27x = 877,662.38
  5. Step 5: Solve for x
    x = 877,662.38/803.27
  6. Step 6: Final answer
    x = 1,092.61

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.