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Finding the Fourth Proportional to 666.97, 998.92 and 320.54

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Solution

The fourth proportional to 666.97, 998.92 and 320.54 is: 480.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    666.97 : 998.92 = 320.54 : x
  2. Step 2: Convert to fraction form
    666.97/998.92 = 320.54/x
  3. Step 3: Cross multiply
    666.97x = 998.92 × 320.54
  4. Step 4: Simplify right side
    666.97x = 320,193.82
  5. Step 5: Solve for x
    x = 320,193.82/666.97
  6. Step 6: Final answer
    x = 480.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.