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Finding the Fourth Proportional to 669.36, 998.14 and 623.20

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Solution

The fourth proportional to 669.36, 998.14 and 623.20 is: 929.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    669.36 : 998.14 = 623.20 : x
  2. Step 2: Convert to fraction form
    669.36/998.14 = 623.20/x
  3. Step 3: Cross multiply
    669.36x = 998.14 × 623.20
  4. Step 4: Simplify right side
    669.36x = 622,040.85
  5. Step 5: Solve for x
    x = 622,040.85/669.36
  6. Step 6: Final answer
    x = 929.31

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.