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Finding the Fourth Proportional to 863.94, 1,186.45 and 739.60

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Solution

The fourth proportional to 863.94, 1,186.45 and 739.60 is: 1,015.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    863.94 : 1,186.45 = 739.60 : x
  2. Step 2: Convert to fraction form
    863.94/1,186.45 = 739.60/x
  3. Step 3: Cross multiply
    863.94x = 1,186.45 × 739.60
  4. Step 4: Simplify right side
    863.94x = 877,494.72
  5. Step 5: Solve for x
    x = 877,494.72/863.94
  6. Step 6: Final answer
    x = 1,015.69

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.