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Finding the Fourth Proportional to 1,251.74, 1,879.77 and 767.63

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Solution

The fourth proportional to 1,251.74, 1,879.77 and 767.63 is: 1,152.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,251.74 : 1,879.77 = 767.63 : x
  2. Step 2: Convert to fraction form
    1,251.74/1,879.77 = 767.63/x
  3. Step 3: Cross multiply
    1,251.74x = 1,879.77 × 767.63
  4. Step 4: Simplify right side
    1,251.74x = 1,442,958.45
  5. Step 5: Solve for x
    x = 1,442,958.45/1,251.74
  6. Step 6: Final answer
    x = 1,152.77

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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.