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Finding the Fourth Proportional to 789.96, 1,185.44 and 443.24

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Solution

The fourth proportional to 789.96, 1,185.44 and 443.24 is: 665.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    789.96 : 1,185.44 = 443.24 : x
  2. Step 2: Convert to fraction form
    789.96/1,185.44 = 443.24/x
  3. Step 3: Cross multiply
    789.96x = 1,185.44 × 443.24
  4. Step 4: Simplify right side
    789.96x = 525,426.28
  5. Step 5: Solve for x
    x = 525,426.28/789.96
  6. Step 6: Final answer
    x = 665.13

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Double scale
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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.