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Finding the Fourth Proportional to 1,748.26, 2,622 and 515.76

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Solution

The fourth proportional to 1,748.26, 2,622 and 515.76 is: 773.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,748.26 : 2,622 = 515.76 : x
  2. Step 2: Convert to fraction form
    1,748.26/2,622 = 515.76/x
  3. Step 3: Cross multiply
    1,748.26x = 2,622 × 515.76
  4. Step 4: Simplify right side
    1,748.26x = 1,352,322.72
  5. Step 5: Solve for x
    x = 1,352,322.72/1,748.26
  6. Step 6: Final answer
    x = 773.52

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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.