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Finding the Fourth Proportional to 863.09, 1,190.80 and 779.93

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Solution

The fourth proportional to 863.09, 1,190.80 and 779.93 is: 1,076.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    863.09 : 1,190.80 = 779.93 : x
  2. Step 2: Convert to fraction form
    863.09/1,190.80 = 779.93/x
  3. Step 3: Cross multiply
    863.09x = 1,190.80 × 779.93
  4. Step 4: Simplify right side
    863.09x = 928,740.64
  5. Step 5: Solve for x
    x = 928,740.64/863.09
  6. Step 6: Final answer
    x = 1,076.06

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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.