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Finding the Fourth Proportional to 625.45, 863.17 and 345.71

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Solution

The fourth proportional to 625.45, 863.17 and 345.71 is: 477.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    625.45 : 863.17 = 345.71 : x
  2. Step 2: Convert to fraction form
    625.45/863.17 = 345.71/x
  3. Step 3: Cross multiply
    625.45x = 863.17 × 345.71
  4. Step 4: Simplify right side
    625.45x = 298,405.64
  5. Step 5: Solve for x
    x = 298,405.64/625.45
  6. Step 6: Final answer
    x = 477.11

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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.