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Finding the Fourth Proportional to 796.12, 1,194.03 and 333.77

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Solution

The fourth proportional to 796.12, 1,194.03 and 333.77 is: 500.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    796.12 : 1,194.03 = 333.77 : x
  2. Step 2: Convert to fraction form
    796.12/1,194.03 = 333.77/x
  3. Step 3: Cross multiply
    796.12x = 1,194.03 × 333.77
  4. Step 4: Simplify right side
    796.12x = 398,531.51
  5. Step 5: Solve for x
    x = 398,531.51/796.12
  6. Step 6: Final answer
    x = 500.59

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1.5x scale

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.