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Finding the Fourth Proportional to 1,292.23, 1,782.63 and 872.60

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Solution

The fourth proportional to 1,292.23, 1,782.63 and 872.60 is: 1,203.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,292.23 : 1,782.63 = 872.60 : x
  2. Step 2: Convert to fraction form
    1,292.23/1,782.63 = 872.60/x
  3. Step 3: Cross multiply
    1,292.23x = 1,782.63 × 872.60
  4. Step 4: Simplify right side
    1,292.23x = 1,555,521.49
  5. Step 5: Solve for x
    x = 1,555,521.49/1,292.23
  6. Step 6: Final answer
    x = 1,203.75

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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.