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Finding the Fourth Proportional to 800.94, 1,105.71 and 490.62

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Solution

The fourth proportional to 800.94, 1,105.71 and 490.62 is: 677.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    800.94 : 1,105.71 = 490.62 : x
  2. Step 2: Convert to fraction form
    800.94/1,105.71 = 490.62/x
  3. Step 3: Cross multiply
    800.94x = 1,105.71 × 490.62
  4. Step 4: Simplify right side
    800.94x = 542,483.44
  5. Step 5: Solve for x
    x = 542,483.44/800.94
  6. Step 6: Final answer
    x = 677.31

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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.