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Finding the Fourth Proportional to 644.01, 884.85 and 512.79

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Solution

The fourth proportional to 644.01, 884.85 and 512.79 is: 704.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    644.01 : 884.85 = 512.79 : x
  2. Step 2: Convert to fraction form
    644.01/884.85 = 512.79/x
  3. Step 3: Cross multiply
    644.01x = 884.85 × 512.79
  4. Step 4: Simplify right side
    644.01x = 453,742.23
  5. Step 5: Solve for x
    x = 453,742.23/644.01
  6. Step 6: Final answer
    x = 704.56

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.