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Finding the Fourth Proportional to 1,292.58, 1,782.81 and 872.73

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Solution

The fourth proportional to 1,292.58, 1,782.81 and 872.73 is: 1,203.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,292.58 : 1,782.81 = 872.73 : x
  2. Step 2: Convert to fraction form
    1,292.58/1,782.81 = 872.73/x
  3. Step 3: Cross multiply
    1,292.58x = 1,782.81 × 872.73
  4. Step 4: Simplify right side
    1,292.58x = 1,555,911.77
  5. Step 5: Solve for x
    x = 1,555,911.77/1,292.58
  6. Step 6: Final answer
    x = 1,203.73

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.