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Finding the Fourth Proportional to 638.94, 959.96 and 546.69

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Solution

The fourth proportional to 638.94, 959.96 and 546.69 is: 821.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    638.94 : 959.96 = 546.69 : x
  2. Step 2: Convert to fraction form
    638.94/959.96 = 546.69/x
  3. Step 3: Cross multiply
    638.94x = 959.96 × 546.69
  4. Step 4: Simplify right side
    638.94x = 524,800.53
  5. Step 5: Solve for x
    x = 524,800.53/638.94
  6. Step 6: Final answer
    x = 821.36

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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.