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Finding the Fourth Proportional to 825.06, 1,235.19 and 639.75

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Solution

The fourth proportional to 825.06, 1,235.19 and 639.75 is: 957.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    825.06 : 1,235.19 = 639.75 : x
  2. Step 2: Convert to fraction form
    825.06/1,235.19 = 639.75/x
  3. Step 3: Cross multiply
    825.06x = 1,235.19 × 639.75
  4. Step 4: Simplify right side
    825.06x = 790,212.80
  5. Step 5: Solve for x
    x = 790,212.80/825.06
  6. Step 6: Final answer
    x = 957.76

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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.