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Finding the Fourth Proportional to 448, 672.75 and 414.33

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Solution

The fourth proportional to 448, 672.75 and 414.33 is: 622.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    448 : 672.75 = 414.33 : x
  2. Step 2: Convert to fraction form
    448/672.75 = 414.33/x
  3. Step 3: Cross multiply
    448x = 672.75 × 414.33
  4. Step 4: Simplify right side
    448x = 278,740.51
  5. Step 5: Solve for x
    x = 278,740.51/448
  6. Step 6: Final answer
    x = 622.19

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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.