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Finding the Fourth Proportional to 2,260.76, 3,391.16 and 721.76

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Solution

The fourth proportional to 2,260.76, 3,391.16 and 721.76 is: 1,082.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,260.76 : 3,391.16 = 721.76 : x
  2. Step 2: Convert to fraction form
    2,260.76/3,391.16 = 721.76/x
  3. Step 3: Cross multiply
    2,260.76x = 3,391.16 × 721.76
  4. Step 4: Simplify right side
    2,260.76x = 2,447,603.64
  5. Step 5: Solve for x
    x = 2,447,603.64/2,260.76
  6. Step 6: Final answer
    x = 1,082.65

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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.