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Finding the Fourth Proportional to 668.32, 998.32 and 633.44

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Solution

The fourth proportional to 668.32, 998.32 and 633.44 is: 946.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    668.32 : 998.32 = 633.44 : x
  2. Step 2: Convert to fraction form
    668.32/998.32 = 633.44/x
  3. Step 3: Cross multiply
    668.32x = 998.32 × 633.44
  4. Step 4: Simplify right side
    668.32x = 632,375.82
  5. Step 5: Solve for x
    x = 632,375.82/668.32
  6. Step 6: Final answer
    x = 946.22

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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.