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Finding the Fourth Proportional to 867.09, 1,197.21 and 535.97

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Solution

The fourth proportional to 867.09, 1,197.21 and 535.97 is: 740.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    867.09 : 1,197.21 = 535.97 : x
  2. Step 2: Convert to fraction form
    867.09/1,197.21 = 535.97/x
  3. Step 3: Cross multiply
    867.09x = 1,197.21 × 535.97
  4. Step 4: Simplify right side
    867.09x = 641,668.64
  5. Step 5: Solve for x
    x = 641,668.64/867.09
  6. Step 6: Final answer
    x = 740.03

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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.