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Finding the Fourth Proportional to 489.17, 674.87 and 314.62

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Solution

The fourth proportional to 489.17, 674.87 and 314.62 is: 434.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    489.17 : 674.87 = 314.62 : x
  2. Step 2: Convert to fraction form
    489.17/674.87 = 314.62/x
  3. Step 3: Cross multiply
    489.17x = 674.87 × 314.62
  4. Step 4: Simplify right side
    489.17x = 212,324.34
  5. Step 5: Solve for x
    x = 212,324.34/489.17
  6. Step 6: Final answer
    x = 434.05

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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.