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Finding the Fourth Proportional to 1,277.58, 1,916.33 and 728.59

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Solution

The fourth proportional to 1,277.58, 1,916.33 and 728.59 is: 1,092.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,277.58 : 1,916.33 = 728.59 : x
  2. Step 2: Convert to fraction form
    1,277.58/1,916.33 = 728.59/x
  3. Step 3: Cross multiply
    1,277.58x = 1,916.33 × 728.59
  4. Step 4: Simplify right side
    1,277.58x = 1,396,218.87
  5. Step 5: Solve for x
    x = 1,396,218.87/1,277.58
  6. Step 6: Final answer
    x = 1,092.86

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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.