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Finding the Fourth Proportional to 628.34, 866.76 and 379.76

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Solution

The fourth proportional to 628.34, 866.76 and 379.76 is: 523.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    628.34 : 866.76 = 379.76 : x
  2. Step 2: Convert to fraction form
    628.34/866.76 = 379.76/x
  3. Step 3: Cross multiply
    628.34x = 866.76 × 379.76
  4. Step 4: Simplify right side
    628.34x = 329,160.78
  5. Step 5: Solve for x
    x = 329,160.78/628.34
  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.