Home / 1,205.15-1,806.80-382.95

Finding the Fourth Proportional to 1,205.15, 1,806.80 and 382.95

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Solution

The fourth proportional to 1,205.15, 1,806.80 and 382.95 is: 574.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,205.15 : 1,806.80 = 382.95 : x
  2. Step 2: Convert to fraction form
    1,205.15/1,806.80 = 382.95/x
  3. Step 3: Cross multiply
    1,205.15x = 1,806.80 × 382.95
  4. Step 4: Simplify right side
    1,205.15x = 691,912.15
  5. Step 5: Solve for x
    x = 691,912.15/1,205.15
  6. Step 6: Final answer
    x = 574.13

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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.