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Finding the Fourth Proportional to 666.44, 996.37 and 564.86

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Solution

The fourth proportional to 666.44, 996.37 and 564.86 is: 844.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    666.44 : 996.37 = 564.86 : x
  2. Step 2: Convert to fraction form
    666.44/996.37 = 564.86/x
  3. Step 3: Cross multiply
    666.44x = 996.37 × 564.86
  4. Step 4: Simplify right side
    666.44x = 562,809.56
  5. Step 5: Solve for x
    x = 562,809.56/666.44
  6. Step 6: Final answer
    x = 844.50

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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.