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Finding the Fourth Proportional to 636.82, 879.67 and 498.69

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Solution

The fourth proportional to 636.82, 879.67 and 498.69 is: 688.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    636.82 : 879.67 = 498.69 : x
  2. Step 2: Convert to fraction form
    636.82/879.67 = 498.69/x
  3. Step 3: Cross multiply
    636.82x = 879.67 × 498.69
  4. Step 4: Simplify right side
    636.82x = 438,682.63
  5. Step 5: Solve for x
    x = 438,682.63/636.82
  6. Step 6: Final answer
    x = 688.86

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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.