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Finding the Fourth Proportional to 793.63, 1,183.51 and 786.34

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Solution

The fourth proportional to 793.63, 1,183.51 and 786.34 is: 1,172.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    793.63 : 1,183.51 = 786.34 : x
  2. Step 2: Convert to fraction form
    793.63/1,183.51 = 786.34/x
  3. Step 3: Cross multiply
    793.63x = 1,183.51 × 786.34
  4. Step 4: Simplify right side
    793.63x = 930,641.25
  5. Step 5: Solve for x
    x = 930,641.25/793.63
  6. Step 6: Final answer
    x = 1,172.64

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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.