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Finding the Fourth Proportional to 648.49, 971.21 and 453.68

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Solution

The fourth proportional to 648.49, 971.21 and 453.68 is: 679.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    648.49 : 971.21 = 453.68 : x
  2. Step 2: Convert to fraction form
    648.49/971.21 = 453.68/x
  3. Step 3: Cross multiply
    648.49x = 971.21 × 453.68
  4. Step 4: Simplify right side
    648.49x = 440,616.28
  5. Step 5: Solve for x
    x = 440,616.28/648.49
  6. Step 6: Final answer
    x = 679.45

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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.