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Finding the Fourth Proportional to 1,273.10, 1,909.01 and 451.25

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Solution

The fourth proportional to 1,273.10, 1,909.01 and 451.25 is: 676.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,273.10 : 1,909.01 = 451.25 : x
  2. Step 2: Convert to fraction form
    1,273.10/1,909.01 = 451.25/x
  3. Step 3: Cross multiply
    1,273.10x = 1,909.01 × 451.25
  4. Step 4: Simplify right side
    1,273.10x = 861,439.50
  5. Step 5: Solve for x
    x = 861,439.50/1,273.10
  6. Step 6: Final answer
    x = 676.65

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Half scale
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Double scale
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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.