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Finding the Fourth Proportional to 1,103.51, 1,654.38 and 755.99

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Solution

The fourth proportional to 1,103.51, 1,654.38 and 755.99 is: 1,133.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,103.51 : 1,654.38 = 755.99 : x
  2. Step 2: Convert to fraction form
    1,103.51/1,654.38 = 755.99/x
  3. Step 3: Cross multiply
    1,103.51x = 1,654.38 × 755.99
  4. Step 4: Simplify right side
    1,103.51x = 1,250,694.74
  5. Step 5: Solve for x
    x = 1,250,694.74/1,103.51
  6. Step 6: Final answer
    x = 1,133.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.