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Finding the Fourth Proportional to 769.37, 1,061.96 and 548.96

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Solution

The fourth proportional to 769.37, 1,061.96 and 548.96 is: 757.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    769.37 : 1,061.96 = 548.96 : x
  2. Step 2: Convert to fraction form
    769.37/1,061.96 = 548.96/x
  3. Step 3: Cross multiply
    769.37x = 1,061.96 × 548.96
  4. Step 4: Simplify right side
    769.37x = 582,965.51
  5. Step 5: Solve for x
    x = 582,965.51/769.37
  6. Step 6: Final answer
    x = 757.72

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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.