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Finding the Fourth Proportional to 1,773.77, 2,660.55 and 733.51

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Solution

The fourth proportional to 1,773.77, 2,660.55 and 733.51 is: 1,100.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,773.77 : 2,660.55 = 733.51 : x
  2. Step 2: Convert to fraction form
    1,773.77/2,660.55 = 733.51/x
  3. Step 3: Cross multiply
    1,773.77x = 2,660.55 × 733.51
  4. Step 4: Simplify right side
    1,773.77x = 1,951,525.64
  5. Step 5: Solve for x
    x = 1,951,525.64/1,773.77
  6. Step 6: Final answer
    x = 1,100.21

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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.