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Finding the Fourth Proportional to 822.73, 1,233.48 and 389.38

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Solution

The fourth proportional to 822.73, 1,233.48 and 389.38 is: 583.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    822.73 : 1,233.48 = 389.38 : x
  2. Step 2: Convert to fraction form
    822.73/1,233.48 = 389.38/x
  3. Step 3: Cross multiply
    822.73x = 1,233.48 × 389.38
  4. Step 4: Simplify right side
    822.73x = 480,286.28
  5. Step 5: Solve for x
    x = 480,286.28/822.73
  6. Step 6: Final answer
    x = 583.77

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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.