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Finding the Fourth Proportional to 625.97, 863.70 and 377.20

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Solution

The fourth proportional to 625.97, 863.70 and 377.20 is: 520.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    625.97 : 863.70 = 377.20 : x
  2. Step 2: Convert to fraction form
    625.97/863.70 = 377.20/x
  3. Step 3: Cross multiply
    625.97x = 863.70 × 377.20
  4. Step 4: Simplify right side
    625.97x = 325,785.75
  5. Step 5: Solve for x
    x = 325,785.75/625.97
  6. Step 6: Final answer
    x = 520.45

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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.