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Finding the Fourth Proportional to 796.92, 1,196.01 and 450.58

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Solution

The fourth proportional to 796.92, 1,196.01 and 450.58 is: 676.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    796.92 : 1,196.01 = 450.58 : x
  2. Step 2: Convert to fraction form
    796.92/1,196.01 = 450.58/x
  3. Step 3: Cross multiply
    796.92x = 1,196.01 × 450.58
  4. Step 4: Simplify right side
    796.92x = 538,895.93
  5. Step 5: Solve for x
    x = 538,895.93/796.92
  6. Step 6: Final answer
    x = 676.23

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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.