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Finding the Fourth Proportional to 2,720.79, 4,080.92 and 773.15

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Solution

The fourth proportional to 2,720.79, 4,080.92 and 773.15 is: 1,159.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,720.79 : 4,080.92 = 773.15 : x
  2. Step 2: Convert to fraction form
    2,720.79/4,080.92 = 773.15/x
  3. Step 3: Cross multiply
    2,720.79x = 4,080.92 × 773.15
  4. Step 4: Simplify right side
    2,720.79x = 3,155,139.03
  5. Step 5: Solve for x
    x = 3,155,139.03/2,720.79
  6. Step 6: Final answer
    x = 1,159.64

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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.