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Finding the Fourth Proportional to 1,720.91, 2,581.35 and 747.71

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Solution

The fourth proportional to 1,720.91, 2,581.35 and 747.71 is: 1,121.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,720.91 : 2,581.35 = 747.71 : x
  2. Step 2: Convert to fraction form
    1,720.91/2,581.35 = 747.71/x
  3. Step 3: Cross multiply
    1,720.91x = 2,581.35 × 747.71
  4. Step 4: Simplify right side
    1,720.91x = 1,930,101.21
  5. Step 5: Solve for x
    x = 1,930,101.21/1,720.91
  6. Step 6: Final answer
    x = 1,121.56

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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.