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Finding the Fourth Proportional to 796.49, 1,194.80 and 334.20

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Solution

The fourth proportional to 796.49, 1,194.80 and 334.20 is: 501.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    796.49 : 1,194.80 = 334.20 : x
  2. Step 2: Convert to fraction form
    796.49/1,194.80 = 334.20/x
  3. Step 3: Cross multiply
    796.49x = 1,194.80 × 334.20
  4. Step 4: Simplify right side
    796.49x = 399,303.00
  5. Step 5: Solve for x
    x = 399,303.00/796.49
  6. Step 6: Final answer
    x = 501.33

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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.