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Finding the Fourth Proportional to 1,745.41, 2,617.75 and 512.49

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Solution

The fourth proportional to 1,745.41, 2,617.75 and 512.49 is: 768.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,745.41 : 2,617.75 = 512.49 : x
  2. Step 2: Convert to fraction form
    1,745.41/2,617.75 = 512.49/x
  3. Step 3: Cross multiply
    1,745.41x = 2,617.75 × 512.49
  4. Step 4: Simplify right side
    1,745.41x = 1,341,570.70
  5. Step 5: Solve for x
    x = 1,341,570.70/1,745.41
  6. Step 6: Final answer
    x = 768.63

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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.