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Finding the Fourth Proportional to 982.48, 1,473.56 and 333.22

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Solution

The fourth proportional to 982.48, 1,473.56 and 333.22 is: 499.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    982.48 : 1,473.56 = 333.22 : x
  2. Step 2: Convert to fraction form
    982.48/1,473.56 = 333.22/x
  3. Step 3: Cross multiply
    982.48x = 1,473.56 × 333.22
  4. Step 4: Simplify right side
    982.48x = 491,019.66
  5. Step 5: Solve for x
    x = 491,019.66/982.48
  6. Step 6: Final answer
    x = 499.78

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Double scale
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Similar ratio
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1.5x scale

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.