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Finding the Fourth Proportional to 626.44, 864 and 495.22

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Solution

The fourth proportional to 626.44, 864 and 495.22 is: 683.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    626.44 : 864 = 495.22 : x
  2. Step 2: Convert to fraction form
    626.44/864 = 495.22/x
  3. Step 3: Cross multiply
    626.44x = 864 × 495.22
  4. Step 4: Simplify right side
    626.44x = 427,870.08
  5. Step 5: Solve for x
    x = 427,870.08/626.44
  6. Step 6: Final answer
    x = 683.02

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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.