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Finding the Fourth Proportional to 669.05, 923.24 and 389.27

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Solution

The fourth proportional to 669.05, 923.24 and 389.27 is: 537.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    669.05 : 923.24 = 389.27 : x
  2. Step 2: Convert to fraction form
    669.05/923.24 = 389.27/x
  3. Step 3: Cross multiply
    669.05x = 923.24 × 389.27
  4. Step 4: Simplify right side
    669.05x = 359,383.07
  5. Step 5: Solve for x
    x = 359,383.07/669.05
  6. Step 6: Final answer
    x = 537.16

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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.