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Finding the Fourth Proportional to 667.82, 921.98 and 443.77

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Solution

The fourth proportional to 667.82, 921.98 and 443.77 is: 612.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    667.82 : 921.98 = 443.77 : x
  2. Step 2: Convert to fraction form
    667.82/921.98 = 443.77/x
  3. Step 3: Cross multiply
    667.82x = 921.98 × 443.77
  4. Step 4: Simplify right side
    667.82x = 409,147.06
  5. Step 5: Solve for x
    x = 409,147.06/667.82
  6. Step 6: Final answer
    x = 612.66

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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.