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Finding the Fourth Proportional to 642.17, 962.94 and 447.27

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Solution

The fourth proportional to 642.17, 962.94 and 447.27 is: 670.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    642.17 : 962.94 = 447.27 : x
  2. Step 2: Convert to fraction form
    642.17/962.94 = 447.27/x
  3. Step 3: Cross multiply
    642.17x = 962.94 × 447.27
  4. Step 4: Simplify right side
    642.17x = 430,692.24
  5. Step 5: Solve for x
    x = 430,692.24/642.17
  6. Step 6: Final answer
    x = 670.68

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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.