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Finding the Fourth Proportional to 855.92, 1,180.68 and 798.32

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Solution

The fourth proportional to 855.92, 1,180.68 and 798.32 is: 1,101.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    855.92 : 1,180.68 = 798.32 : x
  2. Step 2: Convert to fraction form
    855.92/1,180.68 = 798.32/x
  3. Step 3: Cross multiply
    855.92x = 1,180.68 × 798.32
  4. Step 4: Simplify right side
    855.92x = 942,560.46
  5. Step 5: Solve for x
    x = 942,560.46/855.92
  6. Step 6: Final answer
    x = 1,101.22

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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.