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Finding the Fourth Proportional to 822.59, 1,226.10 and 799.50

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Solution

The fourth proportional to 822.59, 1,226.10 and 799.50 is: 1,191.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    822.59 : 1,226.10 = 799.50 : x
  2. Step 2: Convert to fraction form
    822.59/1,226.10 = 799.50/x
  3. Step 3: Cross multiply
    822.59x = 1,226.10 × 799.50
  4. Step 4: Simplify right side
    822.59x = 980,274.55
  5. Step 5: Solve for x
    x = 980,274.55/822.59
  6. Step 6: Final answer
    x = 1,191.69

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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.