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Finding the Fourth Proportional to 628.52, 867.03 and 379.70

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Solution

The fourth proportional to 628.52, 867.03 and 379.70 is: 523.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    628.52 : 867.03 = 379.70 : x
  2. Step 2: Convert to fraction form
    628.52/867.03 = 379.70/x
  3. Step 3: Cross multiply
    628.52x = 867.03 × 379.70
  4. Step 4: Simplify right side
    628.52x = 329,211.29
  5. Step 5: Solve for x
    x = 329,211.29/628.52
  6. Step 6: Final answer
    x = 523.79

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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.