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Finding the Fourth Proportional to 892.02, 1,338.03 and 821.55

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Solution

The fourth proportional to 892.02, 1,338.03 and 821.55 is: 1,232.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    892.02 : 1,338.03 = 821.55 : x
  2. Step 2: Convert to fraction form
    892.02/1,338.03 = 821.55/x
  3. Step 3: Cross multiply
    892.02x = 1,338.03 × 821.55
  4. Step 4: Simplify right side
    892.02x = 1,099,258.55
  5. Step 5: Solve for x
    x = 1,099,258.55/892.02
  6. Step 6: Final answer
    x = 1,232.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.