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Finding the Fourth Proportional to 2,720.34, 4,080.54 and 772.54

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Solution

The fourth proportional to 2,720.34, 4,080.54 and 772.54 is: 1,158.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,720.34 : 4,080.54 = 772.54 : x
  2. Step 2: Convert to fraction form
    2,720.34/4,080.54 = 772.54/x
  3. Step 3: Cross multiply
    2,720.34x = 4,080.54 × 772.54
  4. Step 4: Simplify right side
    2,720.34x = 3,152,396.02
  5. Step 5: Solve for x
    x = 3,152,396.02/2,720.34
  6. Step 6: Final answer
    x = 1,158.82

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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.