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Finding the Fourth Proportional to 546.81, 821.04 and 315.96

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Solution

The fourth proportional to 546.81, 821.04 and 315.96 is: 474.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.81 : 821.04 = 315.96 : x
  2. Step 2: Convert to fraction form
    546.81/821.04 = 315.96/x
  3. Step 3: Cross multiply
    546.81x = 821.04 × 315.96
  4. Step 4: Simplify right side
    546.81x = 259,415.80
  5. Step 5: Solve for x
    x = 259,415.80/546.81
  6. Step 6: Final answer
    x = 474.42

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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.