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Finding the Fourth Proportional to 638.68, 881.78 and 506.44

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Solution

The fourth proportional to 638.68, 881.78 and 506.44 is: 699.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    638.68 : 881.78 = 506.44 : x
  2. Step 2: Convert to fraction form
    638.68/881.78 = 506.44/x
  3. Step 3: Cross multiply
    638.68x = 881.78 × 506.44
  4. Step 4: Simplify right side
    638.68x = 446,568.66
  5. Step 5: Solve for x
    x = 446,568.66/638.68
  6. Step 6: Final answer
    x = 699.21

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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.