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Finding the Fourth Proportional to 867.45, 1,196.73 and 535.53

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Solution

The fourth proportional to 867.45, 1,196.73 and 535.53 is: 738.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    867.45 : 1,196.73 = 535.53 : x
  2. Step 2: Convert to fraction form
    867.45/1,196.73 = 535.53/x
  3. Step 3: Cross multiply
    867.45x = 1,196.73 × 535.53
  4. Step 4: Simplify right side
    867.45x = 640,884.82
  5. Step 5: Solve for x
    x = 640,884.82/867.45
  6. Step 6: Final answer
    x = 738.81

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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.