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Finding the Fourth Proportional to 967.90, 1,334.14 and 757.73

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Solution

The fourth proportional to 967.90, 1,334.14 and 757.73 is: 1,044.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    967.90 : 1,334.14 = 757.73 : x
  2. Step 2: Convert to fraction form
    967.90/1,334.14 = 757.73/x
  3. Step 3: Cross multiply
    967.90x = 1,334.14 × 757.73
  4. Step 4: Simplify right side
    967.90x = 1,010,919.34
  5. Step 5: Solve for x
    x = 1,010,919.34/967.90
  6. Step 6: Final answer
    x = 1,044.45

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.