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Finding the Fourth Proportional to 666.12, 998.64 and 449.76

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Solution

The fourth proportional to 666.12, 998.64 and 449.76 is: 674.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    666.12 : 998.64 = 449.76 : x
  2. Step 2: Convert to fraction form
    666.12/998.64 = 449.76/x
  3. Step 3: Cross multiply
    666.12x = 998.64 × 449.76
  4. Step 4: Simplify right side
    666.12x = 449,148.33
  5. Step 5: Solve for x
    x = 449,148.33/666.12
  6. Step 6: Final answer
    x = 674.28

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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.