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Finding the Fourth Proportional to 797.36, 1,196.36 and 284.40

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Solution

The fourth proportional to 797.36, 1,196.36 and 284.40 is: 426.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    797.36 : 1,196.36 = 284.40 : x
  2. Step 2: Convert to fraction form
    797.36/1,196.36 = 284.40/x
  3. Step 3: Cross multiply
    797.36x = 1,196.36 × 284.40
  4. Step 4: Simplify right side
    797.36x = 340,244.78
  5. Step 5: Solve for x
    x = 340,244.78/797.36
  6. Step 6: Final answer
    x = 426.71

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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.