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Finding the Fourth Proportional to 625.46, 862.71 and 363.29

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Solution

The fourth proportional to 625.46, 862.71 and 363.29 is: 501.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    625.46 : 862.71 = 363.29 : x
  2. Step 2: Convert to fraction form
    625.46/862.71 = 363.29/x
  3. Step 3: Cross multiply
    625.46x = 862.71 × 363.29
  4. Step 4: Simplify right side
    625.46x = 313,409.60
  5. Step 5: Solve for x
    x = 313,409.60/625.46
  6. Step 6: Final answer
    x = 501.09

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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.