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Finding the Fourth Proportional to 2,300.64, 3,451.68 and 762.72

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Solution

The fourth proportional to 2,300.64, 3,451.68 and 762.72 is: 1,144.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,300.64 : 3,451.68 = 762.72 : x
  2. Step 2: Convert to fraction form
    2,300.64/3,451.68 = 762.72/x
  3. Step 3: Cross multiply
    2,300.64x = 3,451.68 × 762.72
  4. Step 4: Simplify right side
    2,300.64x = 2,632,665.37
  5. Step 5: Solve for x
    x = 2,632,665.37/2,300.64
  6. Step 6: Final answer
    x = 1,144.32

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.