Home / 1,226.42-1,693.04-823.33

Finding the Fourth Proportional to 1,226.42, 1,693.04 and 823.33

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Solution

The fourth proportional to 1,226.42, 1,693.04 and 823.33 is: 1,136.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,226.42 : 1,693.04 = 823.33 : x
  2. Step 2: Convert to fraction form
    1,226.42/1,693.04 = 823.33/x
  3. Step 3: Cross multiply
    1,226.42x = 1,693.04 × 823.33
  4. Step 4: Simplify right side
    1,226.42x = 1,393,922.27
  5. Step 5: Solve for x
    x = 1,393,922.27/1,226.42
  6. Step 6: Final answer
    x = 1,136.58

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.