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Finding the Fourth Proportional to 822.20, 1,133.56 and 633.32

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Solution

The fourth proportional to 822.20, 1,133.56 and 633.32 is: 873.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    822.20 : 1,133.56 = 633.32 : x
  2. Step 2: Convert to fraction form
    822.20/1,133.56 = 633.32/x
  3. Step 3: Cross multiply
    822.20x = 1,133.56 × 633.32
  4. Step 4: Simplify right side
    822.20x = 717,906.22
  5. Step 5: Solve for x
    x = 717,906.22/822.20
  6. Step 6: Final answer
    x = 873.15

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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.