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Finding the Fourth Proportional to 2,717.97, 4,077.63 and 770.19

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Solution

The fourth proportional to 2,717.97, 4,077.63 and 770.19 is: 1,155.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,717.97 : 4,077.63 = 770.19 : x
  2. Step 2: Convert to fraction form
    2,717.97/4,077.63 = 770.19/x
  3. Step 3: Cross multiply
    2,717.97x = 4,077.63 × 770.19
  4. Step 4: Simplify right side
    2,717.97x = 3,140,549.85
  5. Step 5: Solve for x
    x = 3,140,549.85/2,717.97
  6. Step 6: Final answer
    x = 1,155.48

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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.