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Finding the Fourth Proportional to 967.06, 1,447.08 and 828.28

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Solution

The fourth proportional to 967.06, 1,447.08 and 828.28 is: 1,239.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    967.06 : 1,447.08 = 828.28 : x
  2. Step 2: Convert to fraction form
    967.06/1,447.08 = 828.28/x
  3. Step 3: Cross multiply
    967.06x = 1,447.08 × 828.28
  4. Step 4: Simplify right side
    967.06x = 1,198,587.42
  5. Step 5: Solve for x
    x = 1,198,587.42/967.06
  6. Step 6: Final answer
    x = 1,239.41

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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.