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Finding the Fourth Proportional to 1,266.50, 1,747.44 and 794.63

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Solution

The fourth proportional to 1,266.50, 1,747.44 and 794.63 is: 1,096.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,266.50 : 1,747.44 = 794.63 : x
  2. Step 2: Convert to fraction form
    1,266.50/1,747.44 = 794.63/x
  3. Step 3: Cross multiply
    1,266.50x = 1,747.44 × 794.63
  4. Step 4: Simplify right side
    1,266.50x = 1,388,572.62
  5. Step 5: Solve for x
    x = 1,388,572.62/1,266.50
  6. Step 6: Final answer
    x = 1,096.38

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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.