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Finding the Fourth Proportional to 2,277.83, 3,416.97 and 717.87

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Solution

The fourth proportional to 2,277.83, 3,416.97 and 717.87 is: 1,076.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,277.83 : 3,416.97 = 717.87 : x
  2. Step 2: Convert to fraction form
    2,277.83/3,416.97 = 717.87/x
  3. Step 3: Cross multiply
    2,277.83x = 3,416.97 × 717.87
  4. Step 4: Simplify right side
    2,277.83x = 2,452,940.25
  5. Step 5: Solve for x
    x = 2,452,940.25/2,277.83
  6. Step 6: Final answer
    x = 1,076.88

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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.