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Finding the Fourth Proportional to 801.36, 1,105.20 and 490.32

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Solution

The fourth proportional to 801.36, 1,105.20 and 490.32 is: 676.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    801.36 : 1,105.20 = 490.32 : x
  2. Step 2: Convert to fraction form
    801.36/1,105.20 = 490.32/x
  3. Step 3: Cross multiply
    801.36x = 1,105.20 × 490.32
  4. Step 4: Simplify right side
    801.36x = 541,901.66
  5. Step 5: Solve for x
    x = 541,901.66/801.36
  6. Step 6: Final answer
    x = 676.23

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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.