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Finding the Fourth Proportional to 796.57, 1,100.10 and 548.53

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Solution

The fourth proportional to 796.57, 1,100.10 and 548.53 is: 757.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    796.57 : 1,100.10 = 548.53 : x
  2. Step 2: Convert to fraction form
    796.57/1,100.10 = 548.53/x
  3. Step 3: Cross multiply
    796.57x = 1,100.10 × 548.53
  4. Step 4: Simplify right side
    796.57x = 603,437.85
  5. Step 5: Solve for x
    x = 603,437.85/796.57
  6. Step 6: Final answer
    x = 757.55

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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.