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Finding the Fourth Proportional to 491.46, 676.82 and 489.94

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Solution

The fourth proportional to 491.46, 676.82 and 489.94 is: 674.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    491.46 : 676.82 = 489.94 : x
  2. Step 2: Convert to fraction form
    491.46/676.82 = 489.94/x
  3. Step 3: Cross multiply
    491.46x = 676.82 × 489.94
  4. Step 4: Simplify right side
    491.46x = 331,601.19
  5. Step 5: Solve for x
    x = 331,601.19/491.46
  6. Step 6: Final answer
    x = 674.73

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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.