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Finding the Fourth Proportional to 1,777.75, 2,453.30 and 991.78

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Solution

The fourth proportional to 1,777.75, 2,453.30 and 991.78 is: 1,368.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,777.75 : 2,453.30 = 991.78 : x
  2. Step 2: Convert to fraction form
    1,777.75/2,453.30 = 991.78/x
  3. Step 3: Cross multiply
    1,777.75x = 2,453.30 × 991.78
  4. Step 4: Simplify right side
    1,777.75x = 2,433,128.92
  5. Step 5: Solve for x
    x = 2,433,128.92/1,777.75
  6. Step 6: Final answer
    x = 1,368.66

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.