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Finding the Fourth Proportional to 796.45, 1,099.93 and 548.41

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Solution

The fourth proportional to 796.45, 1,099.93 and 548.41 is: 757.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    796.45 : 1,099.93 = 548.41 : x
  2. Step 2: Convert to fraction form
    796.45/1,099.93 = 548.41/x
  3. Step 3: Cross multiply
    796.45x = 1,099.93 × 548.41
  4. Step 4: Simplify right side
    796.45x = 603,207.11
  5. Step 5: Solve for x
    x = 603,207.11/796.45
  6. Step 6: Final answer
    x = 757.37

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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.