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Finding the Fourth Proportional to 489.27, 674.06 and 364.70

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Solution

The fourth proportional to 489.27, 674.06 and 364.70 is: 502.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    489.27 : 674.06 = 364.70 : x
  2. Step 2: Convert to fraction form
    489.27/674.06 = 364.70/x
  3. Step 3: Cross multiply
    489.27x = 674.06 × 364.70
  4. Step 4: Simplify right side
    489.27x = 245,829.54
  5. Step 5: Solve for x
    x = 245,829.54/489.27
  6. Step 6: Final answer
    x = 502.44

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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.