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Finding the Fourth Proportional to 1,105.41, 1,525.05 and 731.73

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Solution

The fourth proportional to 1,105.41, 1,525.05 and 731.73 is: 1,009.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,105.41 : 1,525.05 = 731.73 : x
  2. Step 2: Convert to fraction form
    1,105.41/1,525.05 = 731.73/x
  3. Step 3: Cross multiply
    1,105.41x = 1,525.05 × 731.73
  4. Step 4: Simplify right side
    1,105.41x = 1,115,924.84
  5. Step 5: Solve for x
    x = 1,115,924.84/1,105.41
  6. Step 6: Final answer
    x = 1,009.51

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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.