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Finding the Fourth Proportional to 1,905.50, 2,858.25 and 751.25

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Solution

The fourth proportional to 1,905.50, 2,858.25 and 751.25 is: 1,126.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,905.50 : 2,858.25 = 751.25 : x
  2. Step 2: Convert to fraction form
    1,905.50/2,858.25 = 751.25/x
  3. Step 3: Cross multiply
    1,905.50x = 2,858.25 × 751.25
  4. Step 4: Simplify right side
    1,905.50x = 2,147,260.31
  5. Step 5: Solve for x
    x = 2,147,260.31/1,905.50
  6. Step 6: Final answer
    x = 1,126.88

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Half scale
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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.