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Finding the Fourth Proportional to 2,280.56, 3,420.88 and 720.50

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Solution

The fourth proportional to 2,280.56, 3,420.88 and 720.50 is: 1,080.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,280.56 : 3,420.88 = 720.50 : x
  2. Step 2: Convert to fraction form
    2,280.56/3,420.88 = 720.50/x
  3. Step 3: Cross multiply
    2,280.56x = 3,420.88 × 720.50
  4. Step 4: Simplify right side
    2,280.56x = 2,464,744.04
  5. Step 5: Solve for x
    x = 2,464,744.04/2,280.56
  6. Step 6: Final answer
    x = 1,080.76

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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.