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Finding the Fourth Proportional to 823.19, 1,136.07 and 528.54

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Solution

The fourth proportional to 823.19, 1,136.07 and 528.54 is: 729.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    823.19 : 1,136.07 = 528.54 : x
  2. Step 2: Convert to fraction form
    823.19/1,136.07 = 528.54/x
  3. Step 3: Cross multiply
    823.19x = 1,136.07 × 528.54
  4. Step 4: Simplify right side
    823.19x = 600,458.44
  5. Step 5: Solve for x
    x = 600,458.44/823.19
  6. Step 6: Final answer
    x = 729.43

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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.