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Finding the Fourth Proportional to 805.72, 1,109.26 and 764.68

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Solution

The fourth proportional to 805.72, 1,109.26 and 764.68 is: 1,052.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    805.72 : 1,109.26 = 764.68 : x
  2. Step 2: Convert to fraction form
    805.72/1,109.26 = 764.68/x
  3. Step 3: Cross multiply
    805.72x = 1,109.26 × 764.68
  4. Step 4: Simplify right side
    805.72x = 848,228.94
  5. Step 5: Solve for x
    x = 848,228.94/805.72
  6. Step 6: Final answer
    x = 1,052.76

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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.