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Finding the Fourth Proportional to 796.54, 1,189.36 and 713.74

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Solution

The fourth proportional to 796.54, 1,189.36 and 713.74 is: 1,065.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    796.54 : 1,189.36 = 713.74 : x
  2. Step 2: Convert to fraction form
    796.54/1,189.36 = 713.74/x
  3. Step 3: Cross multiply
    796.54x = 1,189.36 × 713.74
  4. Step 4: Simplify right side
    796.54x = 848,893.81
  5. Step 5: Solve for x
    x = 848,893.81/796.54
  6. Step 6: Final answer
    x = 1,065.73

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.