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Finding the Fourth Proportional to 626.90, 864.69 and 440.78

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Solution

The fourth proportional to 626.90, 864.69 and 440.78 is: 607.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    626.90 : 864.69 = 440.78 : x
  2. Step 2: Convert to fraction form
    626.90/864.69 = 440.78/x
  3. Step 3: Cross multiply
    626.90x = 864.69 × 440.78
  4. Step 4: Simplify right side
    626.90x = 381,138.06
  5. Step 5: Solve for x
    x = 381,138.06/626.90
  6. Step 6: Final answer
    x = 607.97

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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.