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Finding the Fourth Proportional to 625.50, 863.20 and 359.99

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Solution

The fourth proportional to 625.50, 863.20 and 359.99 is: 496.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    625.50 : 863.20 = 359.99 : x
  2. Step 2: Convert to fraction form
    625.50/863.20 = 359.99/x
  3. Step 3: Cross multiply
    625.50x = 863.20 × 359.99
  4. Step 4: Simplify right side
    625.50x = 310,739.05
  5. Step 5: Solve for x
    x = 310,739.05/625.50
  6. Step 6: Final answer
    x = 496.79

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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.