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Finding the Fourth Proportional to 807.82, 1,212.54 and 547.84

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Solution

The fourth proportional to 807.82, 1,212.54 and 547.84 is: 822.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    807.82 : 1,212.54 = 547.84 : x
  2. Step 2: Convert to fraction form
    807.82/1,212.54 = 547.84/x
  3. Step 3: Cross multiply
    807.82x = 1,212.54 × 547.84
  4. Step 4: Simplify right side
    807.82x = 664,277.91
  5. Step 5: Solve for x
    x = 664,277.91/807.82
  6. Step 6: Final answer
    x = 822.31

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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.