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Finding the Fourth Proportional to 1,512.54, 2,267.91 and 779.94

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Solution

The fourth proportional to 1,512.54, 2,267.91 and 779.94 is: 1,169.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,512.54 : 2,267.91 = 779.94 : x
  2. Step 2: Convert to fraction form
    1,512.54/2,267.91 = 779.94/x
  3. Step 3: Cross multiply
    1,512.54x = 2,267.91 × 779.94
  4. Step 4: Simplify right side
    1,512.54x = 1,768,833.73
  5. Step 5: Solve for x
    x = 1,768,833.73/1,512.54
  6. Step 6: Final answer
    x = 1,169.45

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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.