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Finding the Fourth Proportional to 797.12, 1,099.92 and 443

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Solution

The fourth proportional to 797.12, 1,099.92 and 443 is: 611.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    797.12 : 1,099.92 = 443 : x
  2. Step 2: Convert to fraction form
    797.12/1,099.92 = 443/x
  3. Step 3: Cross multiply
    797.12x = 1,099.92 × 443
  4. Step 4: Simplify right side
    797.12x = 487,264.56
  5. Step 5: Solve for x
    x = 487,264.56/797.12
  6. Step 6: Final answer
    x = 611.28

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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.