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Finding the Fourth Proportional to 688.66, 949.87 and 426.52

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Solution

The fourth proportional to 688.66, 949.87 and 426.52 is: 588.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    688.66 : 949.87 = 426.52 : x
  2. Step 2: Convert to fraction form
    688.66/949.87 = 426.52/x
  3. Step 3: Cross multiply
    688.66x = 949.87 × 426.52
  4. Step 4: Simplify right side
    688.66x = 405,138.55
  5. Step 5: Solve for x
    x = 405,138.55/688.66
  6. Step 6: Final answer
    x = 588.30

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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.