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Finding the Fourth Proportional to 803.94, 1,111.77 and 789.36

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Solution

The fourth proportional to 803.94, 1,111.77 and 789.36 is: 1,091.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    803.94 : 1,111.77 = 789.36 : x
  2. Step 2: Convert to fraction form
    803.94/1,111.77 = 789.36/x
  3. Step 3: Cross multiply
    803.94x = 1,111.77 × 789.36
  4. Step 4: Simplify right side
    803.94x = 877,586.77
  5. Step 5: Solve for x
    x = 877,586.77/803.94
  6. Step 6: Final answer
    x = 1,091.61

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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.