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Finding the Fourth Proportional to 669.27, 923.51 and 403.73

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Solution

The fourth proportional to 669.27, 923.51 and 403.73 is: 557.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    669.27 : 923.51 = 403.73 : x
  2. Step 2: Convert to fraction form
    669.27/923.51 = 403.73/x
  3. Step 3: Cross multiply
    669.27x = 923.51 × 403.73
  4. Step 4: Simplify right side
    669.27x = 372,842.06
  5. Step 5: Solve for x
    x = 372,842.06/669.27
  6. Step 6: Final answer
    x = 557.09

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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.