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Finding the Fourth Proportional to 489.28, 674.45 and 364.75

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Solution

The fourth proportional to 489.28, 674.45 and 364.75 is: 502.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    489.28 : 674.45 = 364.75 : x
  2. Step 2: Convert to fraction form
    489.28/674.45 = 364.75/x
  3. Step 3: Cross multiply
    489.28x = 674.45 × 364.75
  4. Step 4: Simplify right side
    489.28x = 246,005.64
  5. Step 5: Solve for x
    x = 246,005.64/489.28
  6. Step 6: Final answer
    x = 502.79

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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.