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Finding the Fourth Proportional to 625.89, 863.83 and 377.25

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Solution

The fourth proportional to 625.89, 863.83 and 377.25 is: 520.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    625.89 : 863.83 = 377.25 : x
  2. Step 2: Convert to fraction form
    625.89/863.83 = 377.25/x
  3. Step 3: Cross multiply
    625.89x = 863.83 × 377.25
  4. Step 4: Simplify right side
    625.89x = 325,875.55
  5. Step 5: Solve for x
    x = 325,875.55/625.89
  6. Step 6: Final answer
    x = 520.66

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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.