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Finding the Fourth Proportional to 448.09, 666.45 and 443.23

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Solution

The fourth proportional to 448.09, 666.45 and 443.23 is: 659.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    448.09 : 666.45 = 443.23 : x
  2. Step 2: Convert to fraction form
    448.09/666.45 = 443.23/x
  3. Step 3: Cross multiply
    448.09x = 666.45 × 443.23
  4. Step 4: Simplify right side
    448.09x = 295,390.63
  5. Step 5: Solve for x
    x = 295,390.63/448.09
  6. Step 6: Final answer
    x = 659.22

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.