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Finding the Fourth Proportional to 639.21, 959.96 and 537.84

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Solution

The fourth proportional to 639.21, 959.96 and 537.84 is: 807.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    639.21 : 959.96 = 537.84 : x
  2. Step 2: Convert to fraction form
    639.21/959.96 = 537.84/x
  3. Step 3: Cross multiply
    639.21x = 959.96 × 537.84
  4. Step 4: Simplify right side
    639.21x = 516,306.23
  5. Step 5: Solve for x
    x = 516,306.23/639.21
  6. Step 6: Final answer
    x = 807.72

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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.