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Finding the Fourth Proportional to 628.92, 867.84 and 376.83

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Solution

The fourth proportional to 628.92, 867.84 and 376.83 is: 519.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    628.92 : 867.84 = 376.83 : x
  2. Step 2: Convert to fraction form
    628.92/867.84 = 376.83/x
  3. Step 3: Cross multiply
    628.92x = 867.84 × 376.83
  4. Step 4: Simplify right side
    628.92x = 327,028.15
  5. Step 5: Solve for x
    x = 327,028.15/628.92
  6. Step 6: Final answer
    x = 519.98

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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.