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Finding the Fourth Proportional to 2,170.49, 3,255.50 and 610.54

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Solution

The fourth proportional to 2,170.49, 3,255.50 and 610.54 is: 915.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,170.49 : 3,255.50 = 610.54 : x
  2. Step 2: Convert to fraction form
    2,170.49/3,255.50 = 610.54/x
  3. Step 3: Cross multiply
    2,170.49x = 3,255.50 × 610.54
  4. Step 4: Simplify right side
    2,170.49x = 1,987,621.24
  5. Step 5: Solve for x
    x = 1,987,621.24/2,170.49
  6. Step 6: Final answer
    x = 915.75

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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.