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Finding the Fourth Proportional to 546.82, 754.68 and 322.80

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Solution

The fourth proportional to 546.82, 754.68 and 322.80 is: 445.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.82 : 754.68 = 322.80 : x
  2. Step 2: Convert to fraction form
    546.82/754.68 = 322.80/x
  3. Step 3: Cross multiply
    546.82x = 754.68 × 322.80
  4. Step 4: Simplify right side
    546.82x = 243,610.70
  5. Step 5: Solve for x
    x = 243,610.70/546.82
  6. Step 6: Final answer
    x = 445.51

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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.