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Finding the Fourth Proportional to 792.38, 1,093.42 and 443

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Solution

The fourth proportional to 792.38, 1,093.42 and 443 is: 611.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    792.38 : 1,093.42 = 443 : x
  2. Step 2: Convert to fraction form
    792.38/1,093.42 = 443/x
  3. Step 3: Cross multiply
    792.38x = 1,093.42 × 443
  4. Step 4: Simplify right side
    792.38x = 484,385.06
  5. Step 5: Solve for x
    x = 484,385.06/792.38
  6. Step 6: Final answer
    x = 611.30

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.