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Finding the Fourth Proportional to 638.44, 881.20 and 389.78

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Solution

The fourth proportional to 638.44, 881.20 and 389.78 is: 537.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    638.44 : 881.20 = 389.78 : x
  2. Step 2: Convert to fraction form
    638.44/881.20 = 389.78/x
  3. Step 3: Cross multiply
    638.44x = 881.20 × 389.78
  4. Step 4: Simplify right side
    638.44x = 343,474.14
  5. Step 5: Solve for x
    x = 343,474.14/638.44
  6. Step 6: Final answer
    x = 537.99

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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.