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Finding the Fourth Proportional to 669.58, 923.73 and 389.72

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Solution

The fourth proportional to 669.58, 923.73 and 389.72 is: 537.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    669.58 : 923.73 = 389.72 : x
  2. Step 2: Convert to fraction form
    669.58/923.73 = 389.72/x
  3. Step 3: Cross multiply
    669.58x = 923.73 × 389.72
  4. Step 4: Simplify right side
    669.58x = 359,996.06
  5. Step 5: Solve for x
    x = 359,996.06/669.58
  6. Step 6: Final answer
    x = 537.64

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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.