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Finding the Fourth Proportional to 889.93, 1,228.68 and 796.51

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Solution

The fourth proportional to 889.93, 1,228.68 and 796.51 is: 1,099.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    889.93 : 1,228.68 = 796.51 : x
  2. Step 2: Convert to fraction form
    889.93/1,228.68 = 796.51/x
  3. Step 3: Cross multiply
    889.93x = 1,228.68 × 796.51
  4. Step 4: Simplify right side
    889.93x = 978,657.44
  5. Step 5: Solve for x
    x = 978,657.44/889.93
  6. Step 6: Final answer
    x = 1,099.70

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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.