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Finding the Fourth Proportional to 803.76, 1,101.95 and 789.18

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Solution

The fourth proportional to 803.76, 1,101.95 and 789.18 is: 1,081.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    803.76 : 1,101.95 = 789.18 : x
  2. Step 2: Convert to fraction form
    803.76/1,101.95 = 789.18/x
  3. Step 3: Cross multiply
    803.76x = 1,101.95 × 789.18
  4. Step 4: Simplify right side
    803.76x = 869,632.96
  5. Step 5: Solve for x
    x = 869,632.96/803.76
  6. Step 6: Final answer
    x = 1,081.96

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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.