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Finding the Fourth Proportional to 666.80, 997.91 and 459.98

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Solution

The fourth proportional to 666.80, 997.91 and 459.98 is: 688.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    666.80 : 997.91 = 459.98 : x
  2. Step 2: Convert to fraction form
    666.80/997.91 = 459.98/x
  3. Step 3: Cross multiply
    666.80x = 997.91 × 459.98
  4. Step 4: Simplify right side
    666.80x = 459,016.34
  5. Step 5: Solve for x
    x = 459,016.34/666.80
  6. Step 6: Final answer
    x = 688.39

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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.