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Finding the Fourth Proportional to 669.42, 923.69 and 385.85

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Solution

The fourth proportional to 669.42, 923.69 and 385.85 is: 532.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    669.42 : 923.69 = 385.85 : x
  2. Step 2: Convert to fraction form
    669.42/923.69 = 385.85/x
  3. Step 3: Cross multiply
    669.42x = 923.69 × 385.85
  4. Step 4: Simplify right side
    669.42x = 356,409.06
  5. Step 5: Solve for x
    x = 356,409.06/669.42
  6. Step 6: Final answer
    x = 532.41

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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.