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Finding the Fourth Proportional to 1,745.88, 2,618.82 and 771.30

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Solution

The fourth proportional to 1,745.88, 2,618.82 and 771.30 is: 1,156.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,745.88 : 2,618.82 = 771.30 : x
  2. Step 2: Convert to fraction form
    1,745.88/2,618.82 = 771.30/x
  3. Step 3: Cross multiply
    1,745.88x = 2,618.82 × 771.30
  4. Step 4: Simplify right side
    1,745.88x = 2,019,895.87
  5. Step 5: Solve for x
    x = 2,019,895.87/1,745.88
  6. Step 6: Final answer
    x = 1,156.95

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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.