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Finding the Fourth Proportional to 855.73, 1,281.80 and 543.22

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Solution

The fourth proportional to 855.73, 1,281.80 and 543.22 is: 813.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    855.73 : 1,281.80 = 543.22 : x
  2. Step 2: Convert to fraction form
    855.73/1,281.80 = 543.22/x
  3. Step 3: Cross multiply
    855.73x = 1,281.80 × 543.22
  4. Step 4: Simplify right side
    855.73x = 696,301.93
  5. Step 5: Solve for x
    x = 696,301.93/855.73
  6. Step 6: Final answer
    x = 813.69

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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.