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Finding the Fourth Proportional to 669.53, 923.94 and 389.82

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Solution

The fourth proportional to 669.53, 923.94 and 389.82 is: 537.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    669.53 : 923.94 = 389.82 : x
  2. Step 2: Convert to fraction form
    669.53/923.94 = 389.82/x
  3. Step 3: Cross multiply
    669.53x = 923.94 × 389.82
  4. Step 4: Simplify right side
    669.53x = 360,170.29
  5. Step 5: Solve for x
    x = 360,170.29/669.53
  6. Step 6: Final answer
    x = 537.95

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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.