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Finding the Fourth Proportional to 666.37, 999.90 and 505.05

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Solution

The fourth proportional to 666.37, 999.90 and 505.05 is: 757.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    666.37 : 999.90 = 505.05 : x
  2. Step 2: Convert to fraction form
    666.37/999.90 = 505.05/x
  3. Step 3: Cross multiply
    666.37x = 999.90 × 505.05
  4. Step 4: Simplify right side
    666.37x = 504,999.50
  5. Step 5: Solve for x
    x = 504,999.50/666.37
  6. Step 6: Final answer
    x = 757.84

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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.