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Finding the Fourth Proportional to 669.36, 923.97 and 448.23

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Solution

The fourth proportional to 669.36, 923.97 and 448.23 is: 618.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    669.36 : 923.97 = 448.23 : x
  2. Step 2: Convert to fraction form
    669.36/923.97 = 448.23/x
  3. Step 3: Cross multiply
    669.36x = 923.97 × 448.23
  4. Step 4: Simplify right side
    669.36x = 414,151.07
  5. Step 5: Solve for x
    x = 414,151.07/669.36
  6. Step 6: Final answer
    x = 618.73

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.