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Finding the Fourth Proportional to 1,744.80, 2,618.52 and 771.52

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Solution

The fourth proportional to 1,744.80, 2,618.52 and 771.52 is: 1,157.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,744.80 : 2,618.52 = 771.52 : x
  2. Step 2: Convert to fraction form
    1,744.80/2,618.52 = 771.52/x
  3. Step 3: Cross multiply
    1,744.80x = 2,618.52 × 771.52
  4. Step 4: Simplify right side
    1,744.80x = 2,020,240.55
  5. Step 5: Solve for x
    x = 2,020,240.55/1,744.80
  6. Step 6: Final answer
    x = 1,157.86

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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.