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Finding the Fourth Proportional to 820, 1,222.16 and 773.86

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Solution

The fourth proportional to 820, 1,222.16 and 773.86 is: 1,153.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    820 : 1,222.16 = 773.86 : x
  2. Step 2: Convert to fraction form
    820/1,222.16 = 773.86/x
  3. Step 3: Cross multiply
    820x = 1,222.16 × 773.86
  4. Step 4: Simplify right side
    820x = 945,780.74
  5. Step 5: Solve for x
    x = 945,780.74/820
  6. Step 6: Final answer
    x = 1,153.39

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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.