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Finding the Fourth Proportional to 967.91, 1,455.38 and 891.82

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Solution

The fourth proportional to 967.91, 1,455.38 and 891.82 is: 1,340.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    967.91 : 1,455.38 = 891.82 : x
  2. Step 2: Convert to fraction form
    967.91/1,455.38 = 891.82/x
  3. Step 3: Cross multiply
    967.91x = 1,455.38 × 891.82
  4. Step 4: Simplify right side
    967.91x = 1,297,936.99
  5. Step 5: Solve for x
    x = 1,297,936.99/967.91
  6. Step 6: Final answer
    x = 1,340.97

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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.