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Finding the Fourth Proportional to 815.08, 1,222.73 and 328.09

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Solution

The fourth proportional to 815.08, 1,222.73 and 328.09 is: 492.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    815.08 : 1,222.73 = 328.09 : x
  2. Step 2: Convert to fraction form
    815.08/1,222.73 = 328.09/x
  3. Step 3: Cross multiply
    815.08x = 1,222.73 × 328.09
  4. Step 4: Simplify right side
    815.08x = 401,157.73
  5. Step 5: Solve for x
    x = 401,157.73/815.08
  6. Step 6: Final answer
    x = 492.17

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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.