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Finding the Fourth Proportional to 967.89, 1,450.39 and 828.24

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Solution

The fourth proportional to 967.89, 1,450.39 and 828.24 is: 1,241.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    967.89 : 1,450.39 = 828.24 : x
  2. Step 2: Convert to fraction form
    967.89/1,450.39 = 828.24/x
  3. Step 3: Cross multiply
    967.89x = 1,450.39 × 828.24
  4. Step 4: Simplify right side
    967.89x = 1,201,271.01
  5. Step 5: Solve for x
    x = 1,201,271.01/967.89
  6. Step 6: Final answer
    x = 1,241.12

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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.