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Finding the Fourth Proportional to 982.35, 1,473.47 and 333.09

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Solution

The fourth proportional to 982.35, 1,473.47 and 333.09 is: 499.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    982.35 : 1,473.47 = 333.09 : x
  2. Step 2: Convert to fraction form
    982.35/1,473.47 = 333.09/x
  3. Step 3: Cross multiply
    982.35x = 1,473.47 × 333.09
  4. Step 4: Simplify right side
    982.35x = 490,796.46
  5. Step 5: Solve for x
    x = 490,796.46/982.35
  6. Step 6: Final answer
    x = 499.61

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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.