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Finding the Fourth Proportional to 1,090.29, 1,637.34 and 727.41

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Solution

The fourth proportional to 1,090.29, 1,637.34 and 727.41 is: 1,092.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,090.29 : 1,637.34 = 727.41 : x
  2. Step 2: Convert to fraction form
    1,090.29/1,637.34 = 727.41/x
  3. Step 3: Cross multiply
    1,090.29x = 1,637.34 × 727.41
  4. Step 4: Simplify right side
    1,090.29x = 1,191,017.49
  5. Step 5: Solve for x
    x = 1,191,017.49/1,090.29
  6. Step 6: Final answer
    x = 1,092.39

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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.