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Finding the Fourth Proportional to 489.82, 674.28 and 378.94

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Solution

The fourth proportional to 489.82, 674.28 and 378.94 is: 521.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    489.82 : 674.28 = 378.94 : x
  2. Step 2: Convert to fraction form
    489.82/674.28 = 378.94/x
  3. Step 3: Cross multiply
    489.82x = 674.28 × 378.94
  4. Step 4: Simplify right side
    489.82x = 255,511.66
  5. Step 5: Solve for x
    x = 255,511.66/489.82
  6. Step 6: Final answer
    x = 521.64

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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.