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Finding the Fourth Proportional to 867.44, 1,197.05 and 494.37

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Solution

The fourth proportional to 867.44, 1,197.05 and 494.37 is: 682.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    867.44 : 1,197.05 = 494.37 : x
  2. Step 2: Convert to fraction form
    867.44/1,197.05 = 494.37/x
  3. Step 3: Cross multiply
    867.44x = 1,197.05 × 494.37
  4. Step 4: Simplify right side
    867.44x = 591,783.14
  5. Step 5: Solve for x
    x = 591,783.14/867.44
  6. Step 6: Final answer
    x = 682.22

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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.