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Finding the Fourth Proportional to 965.93, 1,447.97 and 418.49

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Solution

The fourth proportional to 965.93, 1,447.97 and 418.49 is: 627.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    965.93 : 1,447.97 = 418.49 : x
  2. Step 2: Convert to fraction form
    965.93/1,447.97 = 418.49/x
  3. Step 3: Cross multiply
    965.93x = 1,447.97 × 418.49
  4. Step 4: Simplify right side
    965.93x = 605,951.63
  5. Step 5: Solve for x
    x = 605,951.63/965.93
  6. Step 6: Final answer
    x = 627.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.