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Finding the Fourth Proportional to 669.25, 998.10 and 623.08

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Solution

The fourth proportional to 669.25, 998.10 and 623.08 is: 929.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    669.25 : 998.10 = 623.08 : x
  2. Step 2: Convert to fraction form
    669.25/998.10 = 623.08/x
  3. Step 3: Cross multiply
    669.25x = 998.10 × 623.08
  4. Step 4: Simplify right side
    669.25x = 621,896.15
  5. Step 5: Solve for x
    x = 621,896.15/669.25
  6. Step 6: Final answer
    x = 929.24

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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.