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Finding the Fourth Proportional to 825.78, 1,236.74 and 532.38

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Solution

The fourth proportional to 825.78, 1,236.74 and 532.38 is: 797.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    825.78 : 1,236.74 = 532.38 : x
  2. Step 2: Convert to fraction form
    825.78/1,236.74 = 532.38/x
  3. Step 3: Cross multiply
    825.78x = 1,236.74 × 532.38
  4. Step 4: Simplify right side
    825.78x = 658,415.64
  5. Step 5: Solve for x
    x = 658,415.64/825.78
  6. Step 6: Final answer
    x = 797.33

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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.