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Finding the Fourth Proportional to 448.09, 618.44 and 434.41

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Solution

The fourth proportional to 448.09, 618.44 and 434.41 is: 599.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    448.09 : 618.44 = 434.41 : x
  2. Step 2: Convert to fraction form
    448.09/618.44 = 434.41/x
  3. Step 3: Cross multiply
    448.09x = 618.44 × 434.41
  4. Step 4: Simplify right side
    448.09x = 268,656.52
  5. Step 5: Solve for x
    x = 268,656.52/448.09
  6. Step 6: Final answer
    x = 599.56

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.