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Finding the Fourth Proportional to 867.25, 1,196.52 and 535.33

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Solution

The fourth proportional to 867.25, 1,196.52 and 535.33 is: 738.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    867.25 : 1,196.52 = 535.33 : x
  2. Step 2: Convert to fraction form
    867.25/1,196.52 = 535.33/x
  3. Step 3: Cross multiply
    867.25x = 1,196.52 × 535.33
  4. Step 4: Simplify right side
    867.25x = 640,533.05
  5. Step 5: Solve for x
    x = 640,533.05/867.25
  6. Step 6: Final answer
    x = 738.58

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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.