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Finding the Fourth Proportional to 1,107.59, 1,661.48 and 327.59

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Solution

The fourth proportional to 1,107.59, 1,661.48 and 327.59 is: 491.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,107.59 : 1,661.48 = 327.59 : x
  2. Step 2: Convert to fraction form
    1,107.59/1,661.48 = 327.59/x
  3. Step 3: Cross multiply
    1,107.59x = 1,661.48 × 327.59
  4. Step 4: Simplify right side
    1,107.59x = 544,275.93
  5. Step 5: Solve for x
    x = 544,275.93/1,107.59
  6. Step 6: Final answer
    x = 491.41

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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.