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Finding the Fourth Proportional to 825.64, 1,236.84 and 620.44

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Solution

The fourth proportional to 825.64, 1,236.84 and 620.44 is: 929.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    825.64 : 1,236.84 = 620.44 : x
  2. Step 2: Convert to fraction form
    825.64/1,236.84 = 620.44/x
  3. Step 3: Cross multiply
    825.64x = 1,236.84 × 620.44
  4. Step 4: Simplify right side
    825.64x = 767,385.01
  5. Step 5: Solve for x
    x = 767,385.01/825.64
  6. Step 6: Final answer
    x = 929.44

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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.