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Finding the Fourth Proportional to 687.87, 949.70 and 426.03

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Solution

The fourth proportional to 687.87, 949.70 and 426.03 is: 588.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    687.87 : 949.70 = 426.03 : x
  2. Step 2: Convert to fraction form
    687.87/949.70 = 426.03/x
  3. Step 3: Cross multiply
    687.87x = 949.70 × 426.03
  4. Step 4: Simplify right side
    687.87x = 404,598.56
  5. Step 5: Solve for x
    x = 404,598.56/687.87
  6. Step 6: Final answer
    x = 588.19

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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.