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Finding the Fourth Proportional to 662.27, 991.92 and 649.57

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Solution

The fourth proportional to 662.27, 991.92 and 649.57 is: 972.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    662.27 : 991.92 = 649.57 : x
  2. Step 2: Convert to fraction form
    662.27/991.92 = 649.57/x
  3. Step 3: Cross multiply
    662.27x = 991.92 × 649.57
  4. Step 4: Simplify right side
    662.27x = 644,318.99
  5. Step 5: Solve for x
    x = 644,318.99/662.27
  6. Step 6: Final answer
    x = 972.89

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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.