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Finding the Fourth Proportional to 666.69, 997.66 and 406.61

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Solution

The fourth proportional to 666.69, 997.66 and 406.61 is: 608.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    666.69 : 997.66 = 406.61 : x
  2. Step 2: Convert to fraction form
    666.69/997.66 = 406.61/x
  3. Step 3: Cross multiply
    666.69x = 997.66 × 406.61
  4. Step 4: Simplify right side
    666.69x = 405,658.53
  5. Step 5: Solve for x
    x = 405,658.53/666.69
  6. Step 6: Final answer
    x = 608.47

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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.