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Finding the Fourth Proportional to 823.32, 1,136.43 and 561.33

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Solution

The fourth proportional to 823.32, 1,136.43 and 561.33 is: 774.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    823.32 : 1,136.43 = 561.33 : x
  2. Step 2: Convert to fraction form
    823.32/1,136.43 = 561.33/x
  3. Step 3: Cross multiply
    823.32x = 1,136.43 × 561.33
  4. Step 4: Simplify right side
    823.32x = 637,912.25
  5. Step 5: Solve for x
    x = 637,912.25/823.32
  6. Step 6: Final answer
    x = 774.80

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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.