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Finding the Fourth Proportional to 823.24, 1,136.64 and 528.64

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Solution

The fourth proportional to 823.24, 1,136.64 and 528.64 is: 729.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    823.24 : 1,136.64 = 528.64 : x
  2. Step 2: Convert to fraction form
    823.24/1,136.64 = 528.64/x
  3. Step 3: Cross multiply
    823.24x = 1,136.64 × 528.64
  4. Step 4: Simplify right side
    823.24x = 600,873.37
  5. Step 5: Solve for x
    x = 600,873.37/823.24
  6. Step 6: Final answer
    x = 729.89

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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.