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Finding the Fourth Proportional to 627.28, 864.08 and 440.44

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Solution

The fourth proportional to 627.28, 864.08 and 440.44 is: 606.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    627.28 : 864.08 = 440.44 : x
  2. Step 2: Convert to fraction form
    627.28/864.08 = 440.44/x
  3. Step 3: Cross multiply
    627.28x = 864.08 × 440.44
  4. Step 4: Simplify right side
    627.28x = 380,575.40
  5. Step 5: Solve for x
    x = 380,575.40/627.28
  6. Step 6: Final answer
    x = 606.71

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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.