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Finding the Fourth Proportional to 1,074.17, 1,608.81 and 879.77

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Solution

The fourth proportional to 1,074.17, 1,608.81 and 879.77 is: 1,317.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,074.17 : 1,608.81 = 879.77 : x
  2. Step 2: Convert to fraction form
    1,074.17/1,608.81 = 879.77/x
  3. Step 3: Cross multiply
    1,074.17x = 1,608.81 × 879.77
  4. Step 4: Simplify right side
    1,074.17x = 1,415,374.73
  5. Step 5: Solve for x
    x = 1,415,374.73/1,074.17
  6. Step 6: Final answer
    x = 1,317.65

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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.