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Finding the Fourth Proportional to 1,777.74, 2,663.63 and 1,256.77

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Solution

The fourth proportional to 1,777.74, 2,663.63 and 1,256.77 is: 1,883.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,777.74 : 2,663.63 = 1,256.77 : x
  2. Step 2: Convert to fraction form
    1,777.74/2,663.63 = 1,256.77/x
  3. Step 3: Cross multiply
    1,777.74x = 2,663.63 × 1,256.77
  4. Step 4: Simplify right side
    1,777.74x = 3,347,570.28
  5. Step 5: Solve for x
    x = 3,347,570.28/1,777.74
  6. Step 6: Final answer
    x = 1,883.05

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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.