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Finding the Fourth Proportional to 625.34, 863.04 and 359.80

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Solution

The fourth proportional to 625.34, 863.04 and 359.80 is: 496.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    625.34 : 863.04 = 359.80 : x
  2. Step 2: Convert to fraction form
    625.34/863.04 = 359.80/x
  3. Step 3: Cross multiply
    625.34x = 863.04 × 359.80
  4. Step 4: Simplify right side
    625.34x = 310,519.01
  5. Step 5: Solve for x
    x = 310,519.01/625.34
  6. Step 6: Final answer
    x = 496.56

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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.