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Finding the Fourth Proportional to 649.02, 971.97 and 454.22

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Solution

The fourth proportional to 649.02, 971.97 and 454.22 is: 680.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.02 : 971.97 = 454.22 : x
  2. Step 2: Convert to fraction form
    649.02/971.97 = 454.22/x
  3. Step 3: Cross multiply
    649.02x = 971.97 × 454.22
  4. Step 4: Simplify right side
    649.02x = 441,485.30
  5. Step 5: Solve for x
    x = 441,485.30/649.02
  6. Step 6: Final answer
    x = 680.23

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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.