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Finding the Fourth Proportional to 797.28, 1,189.07 and 682.44

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Solution

The fourth proportional to 797.28, 1,189.07 and 682.44 is: 1,017.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    797.28 : 1,189.07 = 682.44 : x
  2. Step 2: Convert to fraction form
    797.28/1,189.07 = 682.44/x
  3. Step 3: Cross multiply
    797.28x = 1,189.07 × 682.44
  4. Step 4: Simplify right side
    797.28x = 811,465.52
  5. Step 5: Solve for x
    x = 811,465.52/797.28
  6. Step 6: Final answer
    x = 1,017.79

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.