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Finding the Fourth Proportional to 610.80, 825.30 and 610.80

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Solution

The fourth proportional to 610.80, 825.30 and 610.80 is: 825.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    610.80 : 825.30 = 610.80 : x
  2. Step 2: Convert to fraction form
    610.80/825.30 = 610.80/x
  3. Step 3: Cross multiply
    610.80x = 825.30 × 610.80
  4. Step 4: Simplify right side
    610.80x = 504,093.24
  5. Step 5: Solve for x
    x = 504,093.24/610.80
  6. Step 6: Final answer
    x = 825.30

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.