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Finding the Fourth Proportional to 823.09, 1,226.85 and 800.01

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Solution

The fourth proportional to 823.09, 1,226.85 and 800.01 is: 1,192.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    823.09 : 1,226.85 = 800.01 : x
  2. Step 2: Convert to fraction form
    823.09/1,226.85 = 800.01/x
  3. Step 3: Cross multiply
    823.09x = 1,226.85 × 800.01
  4. Step 4: Simplify right side
    823.09x = 981,486.13
  5. Step 5: Solve for x
    x = 981,486.13/823.09
  6. Step 6: Final answer
    x = 1,192.44

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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.