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Finding the Fourth Proportional to 1,027.28, 1,541.07 and 333.73

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Solution

The fourth proportional to 1,027.28, 1,541.07 and 333.73 is: 500.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,027.28 : 1,541.07 = 333.73 : x
  2. Step 2: Convert to fraction form
    1,027.28/1,541.07 = 333.73/x
  3. Step 3: Cross multiply
    1,027.28x = 1,541.07 × 333.73
  4. Step 4: Simplify right side
    1,027.28x = 514,297.44
  5. Step 5: Solve for x
    x = 514,297.44/1,027.28
  6. Step 6: Final answer
    x = 500.64

Related Problems

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Half scale
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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.