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Finding the Fourth Proportional to 1,095.97, 1,512.38 and 623.80

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Solution

The fourth proportional to 1,095.97, 1,512.38 and 623.80 is: 860.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,095.97 : 1,512.38 = 623.80 : x
  2. Step 2: Convert to fraction form
    1,095.97/1,512.38 = 623.80/x
  3. Step 3: Cross multiply
    1,095.97x = 1,512.38 × 623.80
  4. Step 4: Simplify right side
    1,095.97x = 943,422.64
  5. Step 5: Solve for x
    x = 943,422.64/1,095.97
  6. Step 6: Final answer
    x = 860.81

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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.