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Finding the Fourth Proportional to 2,745.03, 4,117.55 and 665.02

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Solution

The fourth proportional to 2,745.03, 4,117.55 and 665.02 is: 997.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,745.03 : 4,117.55 = 665.02 : x
  2. Step 2: Convert to fraction form
    2,745.03/4,117.55 = 665.02/x
  3. Step 3: Cross multiply
    2,745.03x = 4,117.55 × 665.02
  4. Step 4: Simplify right side
    2,745.03x = 2,738,266.05
  5. Step 5: Solve for x
    x = 2,738,266.05/2,745.03
  6. Step 6: Final answer
    x = 997.54

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1.5x scale

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.