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Finding the Fourth Proportional to 1,773.76, 2,661.67 and 733.57

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Solution

The fourth proportional to 1,773.76, 2,661.67 and 733.57 is: 1,100.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,773.76 : 2,661.67 = 733.57 : x
  2. Step 2: Convert to fraction form
    1,773.76/2,661.67 = 733.57/x
  3. Step 3: Cross multiply
    1,773.76x = 2,661.67 × 733.57
  4. Step 4: Simplify right side
    1,773.76x = 1,952,521.26
  5. Step 5: Solve for x
    x = 1,952,521.26/1,773.76
  6. Step 6: Final answer
    x = 1,100.78

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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.