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Finding the Fourth Proportional to 1,147.03, 1,720.56 and 759.52

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Solution

The fourth proportional to 1,147.03, 1,720.56 and 759.52 is: 1,139.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,147.03 : 1,720.56 = 759.52 : x
  2. Step 2: Convert to fraction form
    1,147.03/1,720.56 = 759.52/x
  3. Step 3: Cross multiply
    1,147.03x = 1,720.56 × 759.52
  4. Step 4: Simplify right side
    1,147.03x = 1,306,799.73
  5. Step 5: Solve for x
    x = 1,306,799.73/1,147.03
  6. Step 6: Final answer
    x = 1,139.29

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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.