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Finding the Fourth Proportional to 2,305.64, 3,459.07 and 662.30

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Solution

The fourth proportional to 2,305.64, 3,459.07 and 662.30 is: 993.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,305.64 : 3,459.07 = 662.30 : x
  2. Step 2: Convert to fraction form
    2,305.64/3,459.07 = 662.30/x
  3. Step 3: Cross multiply
    2,305.64x = 3,459.07 × 662.30
  4. Step 4: Simplify right side
    2,305.64x = 2,290,942.06
  5. Step 5: Solve for x
    x = 2,290,942.06/2,305.64
  6. Step 6: Final answer
    x = 993.63

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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.