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Finding the Fourth Proportional to 628.43, 867.22 and 359.30

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Solution

The fourth proportional to 628.43, 867.22 and 359.30 is: 495.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    628.43 : 867.22 = 359.30 : x
  2. Step 2: Convert to fraction form
    628.43/867.22 = 359.30/x
  3. Step 3: Cross multiply
    628.43x = 867.22 × 359.30
  4. Step 4: Simplify right side
    628.43x = 311,595.44
  5. Step 5: Solve for x
    x = 311,595.44/628.43
  6. Step 6: Final answer
    x = 495.83

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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.