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Finding the Fourth Proportional to 2,601.73, 3,902.29 and 653.79

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Solution

The fourth proportional to 2,601.73, 3,902.29 and 653.79 is: 980.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,601.73 : 3,902.29 = 653.79 : x
  2. Step 2: Convert to fraction form
    2,601.73/3,902.29 = 653.79/x
  3. Step 3: Cross multiply
    2,601.73x = 3,902.29 × 653.79
  4. Step 4: Simplify right side
    2,601.73x = 2,551,278.18
  5. Step 5: Solve for x
    x = 2,551,278.18/2,601.73
  6. Step 6: Final answer
    x = 980.61

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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.