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Finding the Fourth Proportional to 822.41, 1,226.85 and 763.48

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Solution

The fourth proportional to 822.41, 1,226.85 and 763.48 is: 1,138.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    822.41 : 1,226.85 = 763.48 : x
  2. Step 2: Convert to fraction form
    822.41/1,226.85 = 763.48/x
  3. Step 3: Cross multiply
    822.41x = 1,226.85 × 763.48
  4. Step 4: Simplify right side
    822.41x = 936,675.44
  5. Step 5: Solve for x
    x = 936,675.44/822.41
  6. Step 6: Final answer
    x = 1,138.94

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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.