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Finding the Fourth Proportional to 825.27, 1,236.54 and 337.76

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Solution

The fourth proportional to 825.27, 1,236.54 and 337.76 is: 506.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    825.27 : 1,236.54 = 337.76 : x
  2. Step 2: Convert to fraction form
    825.27/1,236.54 = 337.76/x
  3. Step 3: Cross multiply
    825.27x = 1,236.54 × 337.76
  4. Step 4: Simplify right side
    825.27x = 417,647.57
  5. Step 5: Solve for x
    x = 417,647.57/825.27
  6. Step 6: Final answer
    x = 506.07

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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.