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Finding the Fourth Proportional to 611.10, 839.24 and 512.68

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Solution

The fourth proportional to 611.10, 839.24 and 512.68 is: 704.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    611.10 : 839.24 = 512.68 : x
  2. Step 2: Convert to fraction form
    611.10/839.24 = 512.68/x
  3. Step 3: Cross multiply
    611.10x = 839.24 × 512.68
  4. Step 4: Simplify right side
    611.10x = 430,261.56
  5. Step 5: Solve for x
    x = 430,261.56/611.10
  6. Step 6: Final answer
    x = 704.08

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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.