Home / 1,205.19-1,808.49-511.83

Finding the Fourth Proportional to 1,205.19, 1,808.49 and 511.83

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Solution

The fourth proportional to 1,205.19, 1,808.49 and 511.83 is: 768.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,205.19 : 1,808.49 = 511.83 : x
  2. Step 2: Convert to fraction form
    1,205.19/1,808.49 = 511.83/x
  3. Step 3: Cross multiply
    1,205.19x = 1,808.49 × 511.83
  4. Step 4: Simplify right side
    1,205.19x = 925,639.44
  5. Step 5: Solve for x
    x = 925,639.44/1,205.19
  6. Step 6: Final answer
    x = 768.04

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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.