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Finding the Fourth Proportional to 626.04, 863.26 and 427

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Solution

The fourth proportional to 626.04, 863.26 and 427 is: 588.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    626.04 : 863.26 = 427 : x
  2. Step 2: Convert to fraction form
    626.04/863.26 = 427/x
  3. Step 3: Cross multiply
    626.04x = 863.26 × 427
  4. Step 4: Simplify right side
    626.04x = 368,612.02
  5. Step 5: Solve for x
    x = 368,612.02/626.04
  6. Step 6: Final answer
    x = 588.80

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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.