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Finding the Fourth Proportional to 496.81, 688.56 and 487.59

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Solution

The fourth proportional to 496.81, 688.56 and 487.59 is: 675.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    496.81 : 688.56 = 487.59 : x
  2. Step 2: Convert to fraction form
    496.81/688.56 = 487.59/x
  3. Step 3: Cross multiply
    496.81x = 688.56 × 487.59
  4. Step 4: Simplify right side
    496.81x = 335,734.97
  5. Step 5: Solve for x
    x = 335,734.97/496.81
  6. Step 6: Final answer
    x = 675.78

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.