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Finding the Fourth Proportional to 628.78, 863.06 and 557.27

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Solution

The fourth proportional to 628.78, 863.06 and 557.27 is: 764.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    628.78 : 863.06 = 557.27 : x
  2. Step 2: Convert to fraction form
    628.78/863.06 = 557.27/x
  3. Step 3: Cross multiply
    628.78x = 863.06 × 557.27
  4. Step 4: Simplify right side
    628.78x = 480,961.00
  5. Step 5: Solve for x
    x = 480,961.00/628.78
  6. Step 6: Final answer
    x = 764.91

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.