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Finding the Fourth Proportional to 827.53, 1,236.40 and 798.82

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Solution

The fourth proportional to 827.53, 1,236.40 and 798.82 is: 1,193.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    827.53 : 1,236.40 = 798.82 : x
  2. Step 2: Convert to fraction form
    827.53/1,236.40 = 798.82/x
  3. Step 3: Cross multiply
    827.53x = 1,236.40 × 798.82
  4. Step 4: Simplify right side
    827.53x = 987,661.05
  5. Step 5: Solve for x
    x = 987,661.05/827.53
  6. Step 6: Final answer
    x = 1,193.50

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.