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Finding the Fourth Proportional to 919.98, 1,273.05 and 803.88

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Solution

The fourth proportional to 919.98, 1,273.05 and 803.88 is: 1,112.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    919.98 : 1,273.05 = 803.88 : x
  2. Step 2: Convert to fraction form
    919.98/1,273.05 = 803.88/x
  3. Step 3: Cross multiply
    919.98x = 1,273.05 × 803.88
  4. Step 4: Simplify right side
    919.98x = 1,023,379.43
  5. Step 5: Solve for x
    x = 1,023,379.43/919.98
  6. Step 6: Final answer
    x = 1,112.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.