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Finding the Fourth Proportional to 448.32, 674.12 and 412.68

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Solution

The fourth proportional to 448.32, 674.12 and 412.68 is: 620.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    448.32 : 674.12 = 412.68 : x
  2. Step 2: Convert to fraction form
    448.32/674.12 = 412.68/x
  3. Step 3: Cross multiply
    448.32x = 674.12 × 412.68
  4. Step 4: Simplify right side
    448.32x = 278,195.84
  5. Step 5: Solve for x
    x = 278,195.84/448.32
  6. Step 6: Final answer
    x = 620.53

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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.