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Finding the Fourth Proportional to 822.44, 1,233.96 and 389.63

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Solution

The fourth proportional to 822.44, 1,233.96 and 389.63 is: 584.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    822.44 : 1,233.96 = 389.63 : x
  2. Step 2: Convert to fraction form
    822.44/1,233.96 = 389.63/x
  3. Step 3: Cross multiply
    822.44x = 1,233.96 × 389.63
  4. Step 4: Simplify right side
    822.44x = 480,787.83
  5. Step 5: Solve for x
    x = 480,787.83/822.44
  6. Step 6: Final answer
    x = 584.59

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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.