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Finding the Fourth Proportional to 796.76, 1,099.32 and 447.44

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Solution

The fourth proportional to 796.76, 1,099.32 and 447.44 is: 617.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    796.76 : 1,099.32 = 447.44 : x
  2. Step 2: Convert to fraction form
    796.76/1,099.32 = 447.44/x
  3. Step 3: Cross multiply
    796.76x = 1,099.32 × 447.44
  4. Step 4: Simplify right side
    796.76x = 491,880.25
  5. Step 5: Solve for x
    x = 491,880.25/796.76
  6. Step 6: Final answer
    x = 617.35

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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 (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.