Home / 1,759.33-2,639.62-823.11

Finding the Fourth Proportional to 1,759.33, 2,639.62 and 823.11

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Solution

The fourth proportional to 1,759.33, 2,639.62 and 823.11 is: 1,234.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,759.33 : 2,639.62 = 823.11 : x
  2. Step 2: Convert to fraction form
    1,759.33/2,639.62 = 823.11/x
  3. Step 3: Cross multiply
    1,759.33x = 2,639.62 × 823.11
  4. Step 4: Simplify right side
    1,759.33x = 2,172,684.42
  5. Step 5: Solve for x
    x = 2,172,684.42/1,759.33
  6. Step 6: Final answer
    x = 1,234.95

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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.