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Finding the Fourth Proportional to 823.25, 1,136.09 and 450.26

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Solution

The fourth proportional to 823.25, 1,136.09 and 450.26 is: 621.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    823.25 : 1,136.09 = 450.26 : x
  2. Step 2: Convert to fraction form
    823.25/1,136.09 = 450.26/x
  3. Step 3: Cross multiply
    823.25x = 1,136.09 × 450.26
  4. Step 4: Simplify right side
    823.25x = 511,531.33
  5. Step 5: Solve for x
    x = 511,531.33/823.25
  6. Step 6: Final answer
    x = 621.35

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1.5x scale

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.