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Finding the Fourth Proportional to 448.46, 673.71 and 386.97

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Solution

The fourth proportional to 448.46, 673.71 and 386.97 is: 581.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    448.46 : 673.71 = 386.97 : x
  2. Step 2: Convert to fraction form
    448.46/673.71 = 386.97/x
  3. Step 3: Cross multiply
    448.46x = 673.71 × 386.97
  4. Step 4: Simplify right side
    448.46x = 260,705.56
  5. Step 5: Solve for x
    x = 260,705.56/448.46
  6. Step 6: Final answer
    x = 581.34

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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.