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Finding the Fourth Proportional to 825.27, 1,237.95 and 262.35

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Solution

The fourth proportional to 825.27, 1,237.95 and 262.35 is: 393.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    825.27 : 1,237.95 = 262.35 : x
  2. Step 2: Convert to fraction form
    825.27/1,237.95 = 262.35/x
  3. Step 3: Cross multiply
    825.27x = 1,237.95 × 262.35
  4. Step 4: Simplify right side
    825.27x = 324,776.18
  5. Step 5: Solve for x
    x = 324,776.18/825.27
  6. Step 6: Final answer
    x = 393.54

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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.