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Finding the Fourth Proportional to 489.05, 674.70 and 311.97

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Solution

The fourth proportional to 489.05, 674.70 and 311.97 is: 430.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    489.05 : 674.70 = 311.97 : x
  2. Step 2: Convert to fraction form
    489.05/674.70 = 311.97/x
  3. Step 3: Cross multiply
    489.05x = 674.70 × 311.97
  4. Step 4: Simplify right side
    489.05x = 210,483.72
  5. Step 5: Solve for x
    x = 210,483.72/489.05
  6. Step 6: Final answer
    x = 430.39

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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.