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Finding the Fourth Proportional to 1,618.81, 2,427.79 and 448.91

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Solution

The fourth proportional to 1,618.81, 2,427.79 and 448.91 is: 673.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,618.81 : 2,427.79 = 448.91 : x
  2. Step 2: Convert to fraction form
    1,618.81/2,427.79 = 448.91/x
  3. Step 3: Cross multiply
    1,618.81x = 2,427.79 × 448.91
  4. Step 4: Simplify right side
    1,618.81x = 1,089,858.09
  5. Step 5: Solve for x
    x = 1,089,858.09/1,618.81
  6. Step 6: Final answer
    x = 673.25

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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.