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Finding the Fourth Proportional to 628.08, 866.86 and 379.56

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Solution

The fourth proportional to 628.08, 866.86 and 379.56 is: 523.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    628.08 : 866.86 = 379.56 : x
  2. Step 2: Convert to fraction form
    628.08/866.86 = 379.56/x
  3. Step 3: Cross multiply
    628.08x = 866.86 × 379.56
  4. Step 4: Simplify right side
    628.08x = 329,025.38
  5. Step 5: Solve for x
    x = 329,025.38/628.08
  6. Step 6: Final answer
    x = 523.86

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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.