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Finding the Fourth Proportional to 685.46, 945.81 and 489.83

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Solution

The fourth proportional to 685.46, 945.81 and 489.83 is: 675.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    685.46 : 945.81 = 489.83 : x
  2. Step 2: Convert to fraction form
    685.46/945.81 = 489.83/x
  3. Step 3: Cross multiply
    685.46x = 945.81 × 489.83
  4. Step 4: Simplify right side
    685.46x = 463,286.11
  5. Step 5: Solve for x
    x = 463,286.11/685.46
  6. Step 6: Final answer
    x = 675.88

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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.