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Finding the Fourth Proportional to 625.95, 863.68 and 495.34

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Solution

The fourth proportional to 625.95, 863.68 and 495.34 is: 683.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    625.95 : 863.68 = 495.34 : x
  2. Step 2: Convert to fraction form
    625.95/863.68 = 495.34/x
  3. Step 3: Cross multiply
    625.95x = 863.68 × 495.34
  4. Step 4: Simplify right side
    625.95x = 427,815.25
  5. Step 5: Solve for x
    x = 427,815.25/625.95
  6. Step 6: Final answer
    x = 683.47

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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.