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Finding the Fourth Proportional to 625.92, 863.78 and 346.17

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Solution

The fourth proportional to 625.92, 863.78 and 346.17 is: 477.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    625.92 : 863.78 = 346.17 : x
  2. Step 2: Convert to fraction form
    625.92/863.78 = 346.17/x
  3. Step 3: Cross multiply
    625.92x = 863.78 × 346.17
  4. Step 4: Simplify right side
    625.92x = 299,014.72
  5. Step 5: Solve for x
    x = 299,014.72/625.92
  6. Step 6: Final answer
    x = 477.72

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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.