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Finding the Fourth Proportional to 638.96, 881.80 and 442.56

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Solution

The fourth proportional to 638.96, 881.80 and 442.56 is: 610.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    638.96 : 881.80 = 442.56 : x
  2. Step 2: Convert to fraction form
    638.96/881.80 = 442.56/x
  3. Step 3: Cross multiply
    638.96x = 881.80 × 442.56
  4. Step 4: Simplify right side
    638.96x = 390,249.41
  5. Step 5: Solve for x
    x = 390,249.41/638.96
  6. Step 6: Final answer
    x = 610.76

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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.