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Finding the Fourth Proportional to 626.46, 862.27 and 520.38

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Solution

The fourth proportional to 626.46, 862.27 and 520.38 is: 716.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    626.46 : 862.27 = 520.38 : x
  2. Step 2: Convert to fraction form
    626.46/862.27 = 520.38/x
  3. Step 3: Cross multiply
    626.46x = 862.27 × 520.38
  4. Step 4: Simplify right side
    626.46x = 448,708.06
  5. Step 5: Solve for x
    x = 448,708.06/626.46
  6. Step 6: Final answer
    x = 716.26

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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.