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Finding the Fourth Proportional to 827.40, 1,234.88 and 762.28

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Solution

The fourth proportional to 827.40, 1,234.88 and 762.28 is: 1,137.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    827.40 : 1,234.88 = 762.28 : x
  2. Step 2: Convert to fraction form
    827.40/1,234.88 = 762.28/x
  3. Step 3: Cross multiply
    827.40x = 1,234.88 × 762.28
  4. Step 4: Simplify right side
    827.40x = 941,324.33
  5. Step 5: Solve for x
    x = 941,324.33/827.40
  6. Step 6: Final answer
    x = 1,137.69

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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.