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Finding the Fourth Proportional to 669.40, 923.84 and 389.68

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Solution

The fourth proportional to 669.40, 923.84 and 389.68 is: 537.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    669.40 : 923.84 = 389.68 : x
  2. Step 2: Convert to fraction form
    669.40/923.84 = 389.68/x
  3. Step 3: Cross multiply
    669.40x = 923.84 × 389.68
  4. Step 4: Simplify right side
    669.40x = 360,001.97
  5. Step 5: Solve for x
    x = 360,001.97/669.40
  6. Step 6: Final answer
    x = 537.80

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.