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Finding the Fourth Proportional to 546.73, 754.77 and 439.21

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Solution

The fourth proportional to 546.73, 754.77 and 439.21 is: 606.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.73 : 754.77 = 439.21 : x
  2. Step 2: Convert to fraction form
    546.73/754.77 = 439.21/x
  3. Step 3: Cross multiply
    546.73x = 754.77 × 439.21
  4. Step 4: Simplify right side
    546.73x = 331,502.53
  5. Step 5: Solve for x
    x = 331,502.53/546.73
  6. Step 6: Final answer
    x = 606.34

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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.