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Finding the Fourth Proportional to 796.56, 1,194.18 and 659.28

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Solution

The fourth proportional to 796.56, 1,194.18 and 659.28 is: 988.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    796.56 : 1,194.18 = 659.28 : x
  2. Step 2: Convert to fraction form
    796.56/1,194.18 = 659.28/x
  3. Step 3: Cross multiply
    796.56x = 1,194.18 × 659.28
  4. Step 4: Simplify right side
    796.56x = 787,298.99
  5. Step 5: Solve for x
    x = 787,298.99/796.56
  6. Step 6: Final answer
    x = 988.37

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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.