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Finding the Fourth Proportional to 982.96, 1,474.39 and 366.62

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Solution

The fourth proportional to 982.96, 1,474.39 and 366.62 is: 549.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    982.96 : 1,474.39 = 366.62 : x
  2. Step 2: Convert to fraction form
    982.96/1,474.39 = 366.62/x
  3. Step 3: Cross multiply
    982.96x = 1,474.39 × 366.62
  4. Step 4: Simplify right side
    982.96x = 540,540.57
  5. Step 5: Solve for x
    x = 540,540.57/982.96
  6. Step 6: Final answer
    x = 549.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.