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Finding the Fourth Proportional to 796.48, 1,100.16 and 612.23

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Solution

The fourth proportional to 796.48, 1,100.16 and 612.23 is: 845.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    796.48 : 1,100.16 = 612.23 : x
  2. Step 2: Convert to fraction form
    796.48/1,100.16 = 612.23/x
  3. Step 3: Cross multiply
    796.48x = 1,100.16 × 612.23
  4. Step 4: Simplify right side
    796.48x = 673,550.96
  5. Step 5: Solve for x
    x = 673,550.96/796.48
  6. Step 6: Final answer
    x = 845.66

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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.