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Finding the Fourth Proportional to 2,302.78, 3,454.43 and 822.35

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Solution

The fourth proportional to 2,302.78, 3,454.43 and 822.35 is: 1,233.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,302.78 : 3,454.43 = 822.35 : x
  2. Step 2: Convert to fraction form
    2,302.78/3,454.43 = 822.35/x
  3. Step 3: Cross multiply
    2,302.78x = 3,454.43 × 822.35
  4. Step 4: Simplify right side
    2,302.78x = 2,840,737.76
  5. Step 5: Solve for x
    x = 2,840,737.76/2,302.78
  6. Step 6: Final answer
    x = 1,233.61

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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.