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Finding the Fourth Proportional to 450.81, 671.10 and 448.38

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Solution

The fourth proportional to 450.81, 671.10 and 448.38 is: 667.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    450.81 : 671.10 = 448.38 : x
  2. Step 2: Convert to fraction form
    450.81/671.10 = 448.38/x
  3. Step 3: Cross multiply
    450.81x = 671.10 × 448.38
  4. Step 4: Simplify right side
    450.81x = 300,907.82
  5. Step 5: Solve for x
    x = 300,907.82/450.81
  6. Step 6: Final answer
    x = 667.48

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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.