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Finding the Fourth Proportional to 448.25, 673.12 and 414.57

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Solution

The fourth proportional to 448.25, 673.12 and 414.57 is: 622.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    448.25 : 673.12 = 414.57 : x
  2. Step 2: Convert to fraction form
    448.25/673.12 = 414.57/x
  3. Step 3: Cross multiply
    448.25x = 673.12 × 414.57
  4. Step 4: Simplify right side
    448.25x = 279,055.36
  5. Step 5: Solve for x
    x = 279,055.36/448.25
  6. Step 6: Final answer
    x = 622.54

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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.