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Finding the Fourth Proportional to 822.11, 1,224.50 and 805.01

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Solution

The fourth proportional to 822.11, 1,224.50 and 805.01 is: 1,199.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    822.11 : 1,224.50 = 805.01 : x
  2. Step 2: Convert to fraction form
    822.11/1,224.50 = 805.01/x
  3. Step 3: Cross multiply
    822.11x = 1,224.50 × 805.01
  4. Step 4: Simplify right side
    822.11x = 985,733.78
  5. Step 5: Solve for x
    x = 985,733.78/822.11
  6. Step 6: Final answer
    x = 1,199.04

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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.