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Finding the Fourth Proportional to 669.86, 923.30 and 448.73

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Solution

The fourth proportional to 669.86, 923.30 and 448.73 is: 618.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    669.86 : 923.30 = 448.73 : x
  2. Step 2: Convert to fraction form
    669.86/923.30 = 448.73/x
  3. Step 3: Cross multiply
    669.86x = 923.30 × 448.73
  4. Step 4: Simplify right side
    669.86x = 414,305.55
  5. Step 5: Solve for x
    x = 414,305.55/669.86
  6. Step 6: Final answer
    x = 618.50

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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.