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Finding the Fourth Proportional to 625.09, 862.66 and 359.61

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Solution

The fourth proportional to 625.09, 862.66 and 359.61 is: 496.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    625.09 : 862.66 = 359.61 : x
  2. Step 2: Convert to fraction form
    625.09/862.66 = 359.61/x
  3. Step 3: Cross multiply
    625.09x = 862.66 × 359.61
  4. Step 4: Simplify right side
    625.09x = 310,223.50
  5. Step 5: Solve for x
    x = 310,223.50/625.09
  6. Step 6: Final answer
    x = 496.29

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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.