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Finding the Fourth Proportional to 666.46, 997.17 and 448.96

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Solution

The fourth proportional to 666.46, 997.17 and 448.96 is: 671.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    666.46 : 997.17 = 448.96 : x
  2. Step 2: Convert to fraction form
    666.46/997.17 = 448.96/x
  3. Step 3: Cross multiply
    666.46x = 997.17 × 448.96
  4. Step 4: Simplify right side
    666.46x = 447,689.44
  5. Step 5: Solve for x
    x = 447,689.44/666.46
  6. Step 6: Final answer
    x = 671.74

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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.