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Finding the Fourth Proportional to 796.79, 1,194.73 and 328.13

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Solution

The fourth proportional to 796.79, 1,194.73 and 328.13 is: 492.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    796.79 : 1,194.73 = 328.13 : x
  2. Step 2: Convert to fraction form
    796.79/1,194.73 = 328.13/x
  3. Step 3: Cross multiply
    796.79x = 1,194.73 × 328.13
  4. Step 4: Simplify right side
    796.79x = 392,025.11
  5. Step 5: Solve for x
    x = 392,025.11/796.79
  6. Step 6: Final answer
    x = 492.01

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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.