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Finding the Fourth Proportional to 815.26, 1,222.92 and 328.44

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Solution

The fourth proportional to 815.26, 1,222.92 and 328.44 is: 492.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    815.26 : 1,222.92 = 328.44 : x
  2. Step 2: Convert to fraction form
    815.26/1,222.92 = 328.44/x
  3. Step 3: Cross multiply
    815.26x = 1,222.92 × 328.44
  4. Step 4: Simplify right side
    815.26x = 401,655.84
  5. Step 5: Solve for x
    x = 401,655.84/815.26
  6. Step 6: Final answer
    x = 492.67

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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.