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Finding the Fourth Proportional to 489.34, 674.89 and 292.83

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Solution

The fourth proportional to 489.34, 674.89 and 292.83 is: 403.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    489.34 : 674.89 = 292.83 : x
  2. Step 2: Convert to fraction form
    489.34/674.89 = 292.83/x
  3. Step 3: Cross multiply
    489.34x = 674.89 × 292.83
  4. Step 4: Simplify right side
    489.34x = 197,628.04
  5. Step 5: Solve for x
    x = 197,628.04/489.34
  6. Step 6: Final answer
    x = 403.87

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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.