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Finding the Fourth Proportional to 1,273.56, 1,910.36 and 580.20

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Solution

The fourth proportional to 1,273.56, 1,910.36 and 580.20 is: 870.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,273.56 : 1,910.36 = 580.20 : x
  2. Step 2: Convert to fraction form
    1,273.56/1,910.36 = 580.20/x
  3. Step 3: Cross multiply
    1,273.56x = 1,910.36 × 580.20
  4. Step 4: Simplify right side
    1,273.56x = 1,108,390.87
  5. Step 5: Solve for x
    x = 1,108,390.87/1,273.56
  6. Step 6: Final answer
    x = 870.31

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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.