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Finding the Fourth Proportional to 666.31, 998.34 and 454.84

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Solution

The fourth proportional to 666.31, 998.34 and 454.84 is: 681.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    666.31 : 998.34 = 454.84 : x
  2. Step 2: Convert to fraction form
    666.31/998.34 = 454.84/x
  3. Step 3: Cross multiply
    666.31x = 998.34 × 454.84
  4. Step 4: Simplify right side
    666.31x = 454,084.97
  5. Step 5: Solve for x
    x = 454,084.97/666.31
  6. Step 6: Final answer
    x = 681.49

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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.