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Finding the Fourth Proportional to 2,718.26, 4,077.24 and 770.46

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Solution

The fourth proportional to 2,718.26, 4,077.24 and 770.46 is: 1,155.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,718.26 : 4,077.24 = 770.46 : x
  2. Step 2: Convert to fraction form
    2,718.26/4,077.24 = 770.46/x
  3. Step 3: Cross multiply
    2,718.26x = 4,077.24 × 770.46
  4. Step 4: Simplify right side
    2,718.26x = 3,141,350.33
  5. Step 5: Solve for x
    x = 3,141,350.33/2,718.26
  6. Step 6: Final answer
    x = 1,155.65

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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.