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Finding the Fourth Proportional to 1,109.73, 1,661.64 and 588.66

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Solution

The fourth proportional to 1,109.73, 1,661.64 and 588.66 is: 881.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,109.73 : 1,661.64 = 588.66 : x
  2. Step 2: Convert to fraction form
    1,109.73/1,661.64 = 588.66/x
  3. Step 3: Cross multiply
    1,109.73x = 1,661.64 × 588.66
  4. Step 4: Simplify right side
    1,109.73x = 978,141.00
  5. Step 5: Solve for x
    x = 978,141.00/1,109.73
  6. Step 6: Final answer
    x = 881.42

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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.