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Finding the Fourth Proportional to 855.82, 1,284.28 and 547.90

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Solution

The fourth proportional to 855.82, 1,284.28 and 547.90 is: 822.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    855.82 : 1,284.28 = 547.90 : x
  2. Step 2: Convert to fraction form
    855.82/1,284.28 = 547.90/x
  3. Step 3: Cross multiply
    855.82x = 1,284.28 × 547.90
  4. Step 4: Simplify right side
    855.82x = 703,657.01
  5. Step 5: Solve for x
    x = 703,657.01/855.82
  6. Step 6: Final answer
    x = 822.20

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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.