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Finding the Fourth Proportional to 796.86, 1,101.66 and 762.42

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Solution

The fourth proportional to 796.86, 1,101.66 and 762.42 is: 1,054.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    796.86 : 1,101.66 = 762.42 : x
  2. Step 2: Convert to fraction form
    796.86/1,101.66 = 762.42/x
  3. Step 3: Cross multiply
    796.86x = 1,101.66 × 762.42
  4. Step 4: Simplify right side
    796.86x = 839,927.62
  5. Step 5: Solve for x
    x = 839,927.62/796.86
  6. Step 6: Final answer
    x = 1,054.05

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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.