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Finding the Fourth Proportional to 2,720.48, 4,080.72 and 772.43

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Solution

The fourth proportional to 2,720.48, 4,080.72 and 772.43 is: 1,158.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,720.48 : 4,080.72 = 772.43 : x
  2. Step 2: Convert to fraction form
    2,720.48/4,080.72 = 772.43/x
  3. Step 3: Cross multiply
    2,720.48x = 4,080.72 × 772.43
  4. Step 4: Simplify right side
    2,720.48x = 3,152,070.55
  5. Step 5: Solve for x
    x = 3,152,070.55/2,720.48
  6. Step 6: Final answer
    x = 1,158.65

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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.