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Finding the Fourth Proportional to 669.10, 923.38 and 389.34

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Solution

The fourth proportional to 669.10, 923.38 and 389.34 is: 537.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    669.10 : 923.38 = 389.34 : x
  2. Step 2: Convert to fraction form
    669.10/923.38 = 389.34/x
  3. Step 3: Cross multiply
    669.10x = 923.38 × 389.34
  4. Step 4: Simplify right side
    669.10x = 359,508.77
  5. Step 5: Solve for x
    x = 359,508.77/669.10
  6. Step 6: Final answer
    x = 537.30

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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.