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Finding the Fourth Proportional to 1,777.58, 2,660.90 and 1,128.77

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Solution

The fourth proportional to 1,777.58, 2,660.90 and 1,128.77 is: 1,689.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,777.58 : 2,660.90 = 1,128.77 : x
  2. Step 2: Convert to fraction form
    1,777.58/2,660.90 = 1,128.77/x
  3. Step 3: Cross multiply
    1,777.58x = 2,660.90 × 1,128.77
  4. Step 4: Simplify right side
    1,777.58x = 3,003,525.14
  5. Step 5: Solve for x
    x = 3,003,525.14/1,777.58
  6. Step 6: Final answer
    x = 1,689.68

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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.