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Finding the Fourth Proportional to 1,205.40, 1,804.32 and 793.56

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Solution

The fourth proportional to 1,205.40, 1,804.32 and 793.56 is: 1,187.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,205.40 : 1,804.32 = 793.56 : x
  2. Step 2: Convert to fraction form
    1,205.40/1,804.32 = 793.56/x
  3. Step 3: Cross multiply
    1,205.40x = 1,804.32 × 793.56
  4. Step 4: Simplify right side
    1,205.40x = 1,431,836.18
  5. Step 5: Solve for x
    x = 1,431,836.18/1,205.40
  6. Step 6: Final answer
    x = 1,187.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.