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Finding the Fourth Proportional to 625.31, 863.13 and 404.09

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Solution

The fourth proportional to 625.31, 863.13 and 404.09 is: 557.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    625.31 : 863.13 = 404.09 : x
  2. Step 2: Convert to fraction form
    625.31/863.13 = 404.09/x
  3. Step 3: Cross multiply
    625.31x = 863.13 × 404.09
  4. Step 4: Simplify right side
    625.31x = 348,777.89
  5. Step 5: Solve for x
    x = 348,777.89/625.31
  6. Step 6: Final answer
    x = 557.77

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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.