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Finding the Fourth Proportional to 2,509.22, 3,763.53 and 660.48

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Solution

The fourth proportional to 2,509.22, 3,763.53 and 660.48 is: 990.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,509.22 : 3,763.53 = 660.48 : x
  2. Step 2: Convert to fraction form
    2,509.22/3,763.53 = 660.48/x
  3. Step 3: Cross multiply
    2,509.22x = 3,763.53 × 660.48
  4. Step 4: Simplify right side
    2,509.22x = 2,485,736.29
  5. Step 5: Solve for x
    x = 2,485,736.29/2,509.22
  6. Step 6: Final answer
    x = 990.64

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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.