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Finding the Fourth Proportional to 996.72, 1,493.12 and 765.84

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Solution

The fourth proportional to 996.72, 1,493.12 and 765.84 is: 1,147.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    996.72 : 1,493.12 = 765.84 : x
  2. Step 2: Convert to fraction form
    996.72/1,493.12 = 765.84/x
  3. Step 3: Cross multiply
    996.72x = 1,493.12 × 765.84
  4. Step 4: Simplify right side
    996.72x = 1,143,491.02
  5. Step 5: Solve for x
    x = 1,143,491.02/996.72
  6. Step 6: Final answer
    x = 1,147.25

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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.