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Finding the Fourth Proportional to 982.93, 1,473.47 and 333.21

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Solution

The fourth proportional to 982.93, 1,473.47 and 333.21 is: 499.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    982.93 : 1,473.47 = 333.21 : x
  2. Step 2: Convert to fraction form
    982.93/1,473.47 = 333.21/x
  3. Step 3: Cross multiply
    982.93x = 1,473.47 × 333.21
  4. Step 4: Simplify right side
    982.93x = 490,974.94
  5. Step 5: Solve for x
    x = 490,974.94/982.93
  6. Step 6: Final answer
    x = 499.50

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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.