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Finding the Fourth Proportional to 625.38, 863.01 and 345.60

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Solution

The fourth proportional to 625.38, 863.01 and 345.60 is: 476.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    625.38 : 863.01 = 345.60 : x
  2. Step 2: Convert to fraction form
    625.38/863.01 = 345.60/x
  3. Step 3: Cross multiply
    625.38x = 863.01 × 345.60
  4. Step 4: Simplify right side
    625.38x = 298,256.26
  5. Step 5: Solve for x
    x = 298,256.26/625.38
  6. Step 6: Final answer
    x = 476.92

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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.