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Finding the Fourth Proportional to 1,107.50, 1,661.25 and 327.51

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Solution

The fourth proportional to 1,107.50, 1,661.25 and 327.51 is: 491.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,107.50 : 1,661.25 = 327.51 : x
  2. Step 2: Convert to fraction form
    1,107.50/1,661.25 = 327.51/x
  3. Step 3: Cross multiply
    1,107.50x = 1,661.25 × 327.51
  4. Step 4: Simplify right side
    1,107.50x = 544,076.29
  5. Step 5: Solve for x
    x = 544,076.29/1,107.50
  6. Step 6: Final answer
    x = 491.27

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Double scale
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Similar ratio
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1.5x scale

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.