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Finding the Fourth Proportional to 982.80, 1,473.80 and 333.76

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Solution

The fourth proportional to 982.80, 1,473.80 and 333.76 is: 500.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    982.80 : 1,473.80 = 333.76 : x
  2. Step 2: Convert to fraction form
    982.80/1,473.80 = 333.76/x
  3. Step 3: Cross multiply
    982.80x = 1,473.80 × 333.76
  4. Step 4: Simplify right side
    982.80x = 491,895.49
  5. Step 5: Solve for x
    x = 491,895.49/982.80
  6. Step 6: Final answer
    x = 500.50

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Half scale
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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.