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Finding the Fourth Proportional to 796.15, 1,192.67 and 448.42

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Solution

The fourth proportional to 796.15, 1,192.67 and 448.42 is: 671.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    796.15 : 1,192.67 = 448.42 : x
  2. Step 2: Convert to fraction form
    796.15/1,192.67 = 448.42/x
  3. Step 3: Cross multiply
    796.15x = 1,192.67 × 448.42
  4. Step 4: Simplify right side
    796.15x = 534,817.08
  5. Step 5: Solve for x
    x = 534,817.08/796.15
  6. Step 6: Final answer
    x = 671.75

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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.