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Finding the Fourth Proportional to 2,517.55, 3,775.79 and 785.23

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Solution

The fourth proportional to 2,517.55, 3,775.79 and 785.23 is: 1,177.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,517.55 : 3,775.79 = 785.23 : x
  2. Step 2: Convert to fraction form
    2,517.55/3,775.79 = 785.23/x
  3. Step 3: Cross multiply
    2,517.55x = 3,775.79 × 785.23
  4. Step 4: Simplify right side
    2,517.55x = 2,964,859.66
  5. Step 5: Solve for x
    x = 2,964,859.66/2,517.55
  6. Step 6: Final answer
    x = 1,177.68

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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.