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Finding the Fourth Proportional to 965.96, 1,449.16 and 418.23

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Solution

The fourth proportional to 965.96, 1,449.16 and 418.23 is: 627.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    965.96 : 1,449.16 = 418.23 : x
  2. Step 2: Convert to fraction form
    965.96/1,449.16 = 418.23/x
  3. Step 3: Cross multiply
    965.96x = 1,449.16 × 418.23
  4. Step 4: Simplify right side
    965.96x = 606,081.14
  5. Step 5: Solve for x
    x = 606,081.14/965.96
  6. Step 6: Final answer
    x = 627.44

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