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Finding the Fourth Proportional to 546.31, 821.36 and 438.85

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Solution

The fourth proportional to 546.31, 821.36 and 438.85 is: 659.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.31 : 821.36 = 438.85 : x
  2. Step 2: Convert to fraction form
    546.31/821.36 = 438.85/x
  3. Step 3: Cross multiply
    546.31x = 821.36 × 438.85
  4. Step 4: Simplify right side
    546.31x = 360,453.84
  5. Step 5: Solve for x
    x = 360,453.84/546.31
  6. Step 6: Final answer
    x = 659.80

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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.