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Finding the Fourth Proportional to 625.85, 863.66 and 346.09

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Solution

The fourth proportional to 625.85, 863.66 and 346.09 is: 477.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    625.85 : 863.66 = 346.09 : x
  2. Step 2: Convert to fraction form
    625.85/863.66 = 346.09/x
  3. Step 3: Cross multiply
    625.85x = 863.66 × 346.09
  4. Step 4: Simplify right side
    625.85x = 298,899.77
  5. Step 5: Solve for x
    x = 298,899.77/625.85
  6. Step 6: Final answer
    x = 477.59

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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.