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Finding the Fourth Proportional to 2,263.64, 3,395.09 and 620.30

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Solution

The fourth proportional to 2,263.64, 3,395.09 and 620.30 is: 930.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,263.64 : 3,395.09 = 620.30 : x
  2. Step 2: Convert to fraction form
    2,263.64/3,395.09 = 620.30/x
  3. Step 3: Cross multiply
    2,263.64x = 3,395.09 × 620.30
  4. Step 4: Simplify right side
    2,263.64x = 2,105,984.37
  5. Step 5: Solve for x
    x = 2,105,984.37/2,263.64
  6. Step 6: Final answer
    x = 930.36

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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.