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Finding the Fourth Proportional to 626.00, 863.46 and 494.78

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Solution

The fourth proportional to 626.00, 863.46 and 494.78 is: 682.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    626.00 : 863.46 = 494.78 : x
  2. Step 2: Convert to fraction form
    626.00/863.46 = 494.78/x
  3. Step 3: Cross multiply
    626.00x = 863.46 × 494.78
  4. Step 4: Simplify right side
    626.00x = 427,218.42
  5. Step 5: Solve for x
    x = 427,218.42/626.00
  6. Step 6: Final answer
    x = 682.46

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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.