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Finding the Fourth Proportional to 982.46, 1,473.86 and 324.49

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Solution

The fourth proportional to 982.46, 1,473.86 and 324.49 is: 486.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    982.46 : 1,473.86 = 324.49 : x
  2. Step 2: Convert to fraction form
    982.46/1,473.86 = 324.49/x
  3. Step 3: Cross multiply
    982.46x = 1,473.86 × 324.49
  4. Step 4: Simplify right side
    982.46x = 478,251.21
  5. Step 5: Solve for x
    x = 478,251.21/982.46
  6. Step 6: Final answer
    x = 486.79

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Double scale
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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.