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Finding the Fourth Proportional to 688.53, 949.89 and 426.09

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Solution

The fourth proportional to 688.53, 949.89 and 426.09 is: 587.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    688.53 : 949.89 = 426.09 : x
  2. Step 2: Convert to fraction form
    688.53/949.89 = 426.09/x
  3. Step 3: Cross multiply
    688.53x = 949.89 × 426.09
  4. Step 4: Simplify right side
    688.53x = 404,738.63
  5. Step 5: Solve for x
    x = 404,738.63/688.53
  6. Step 6: Final answer
    x = 587.83

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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.