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Finding the Fourth Proportional to 639.77, 881.82 and 462.11

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Solution

The fourth proportional to 639.77, 881.82 and 462.11 is: 636.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    639.77 : 881.82 = 462.11 : x
  2. Step 2: Convert to fraction form
    639.77/881.82 = 462.11/x
  3. Step 3: Cross multiply
    639.77x = 881.82 × 462.11
  4. Step 4: Simplify right side
    639.77x = 407,493.43
  5. Step 5: Solve for x
    x = 407,493.43/639.77
  6. Step 6: Final answer
    x = 636.94

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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.