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Finding the Fourth Proportional to 815.06, 1,222.86 and 328.22

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Solution

The fourth proportional to 815.06, 1,222.86 and 328.22 is: 492.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    815.06 : 1,222.86 = 328.22 : x
  2. Step 2: Convert to fraction form
    815.06/1,222.86 = 328.22/x
  3. Step 3: Cross multiply
    815.06x = 1,222.86 × 328.22
  4. Step 4: Simplify right side
    815.06x = 401,367.11
  5. Step 5: Solve for x
    x = 401,367.11/815.06
  6. Step 6: Final answer
    x = 492.44

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1.5x scale

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.