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Finding the Fourth Proportional to 816, 1,222.84 and 328.49

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Solution

The fourth proportional to 816, 1,222.84 and 328.49 is: 492.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    816 : 1,222.84 = 328.49 : x
  2. Step 2: Convert to fraction form
    816/1,222.84 = 328.49/x
  3. Step 3: Cross multiply
    816x = 1,222.84 × 328.49
  4. Step 4: Simplify right side
    816x = 401,690.71
  5. Step 5: Solve for x
    x = 401,690.71/816
  6. Step 6: Final answer
    x = 492.27

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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.