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Finding the Fourth Proportional to 1,102.97, 1,519.08 and 1,023.68

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Solution

The fourth proportional to 1,102.97, 1,519.08 and 1,023.68 is: 1,409.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,102.97 : 1,519.08 = 1,023.68 : x
  2. Step 2: Convert to fraction form
    1,102.97/1,519.08 = 1,023.68/x
  3. Step 3: Cross multiply
    1,102.97x = 1,519.08 × 1,023.68
  4. Step 4: Simplify right side
    1,102.97x = 1,555,055.61
  5. Step 5: Solve for x
    x = 1,555,055.61/1,102.97
  6. Step 6: Final answer
    x = 1,409.89

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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.