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Finding the Fourth Proportional to 1,292.45, 1,782.47 and 872.69

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Solution

The fourth proportional to 1,292.45, 1,782.47 and 872.69 is: 1,203.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,292.45 : 1,782.47 = 872.69 : x
  2. Step 2: Convert to fraction form
    1,292.45/1,782.47 = 872.69/x
  3. Step 3: Cross multiply
    1,292.45x = 1,782.47 × 872.69
  4. Step 4: Simplify right side
    1,292.45x = 1,555,537.01
  5. Step 5: Solve for x
    x = 1,555,537.01/1,292.45
  6. Step 6: Final answer
    x = 1,203.56

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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.