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Finding the Fourth Proportional to 666.64, 998.34 and 512.20

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Solution

The fourth proportional to 666.64, 998.34 and 512.20 is: 767.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    666.64 : 998.34 = 512.20 : x
  2. Step 2: Convert to fraction form
    666.64/998.34 = 512.20/x
  3. Step 3: Cross multiply
    666.64x = 998.34 × 512.20
  4. Step 4: Simplify right side
    666.64x = 511,349.75
  5. Step 5: Solve for x
    x = 511,349.75/666.64
  6. Step 6: Final answer
    x = 767.06

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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.