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Finding the Fourth Proportional to 648.18, 968.45 and 617.94

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Solution

The fourth proportional to 648.18, 968.45 and 617.94 is: 923.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    648.18 : 968.45 = 617.94 : x
  2. Step 2: Convert to fraction form
    648.18/968.45 = 617.94/x
  3. Step 3: Cross multiply
    648.18x = 968.45 × 617.94
  4. Step 4: Simplify right side
    648.18x = 598,440.90
  5. Step 5: Solve for x
    x = 598,440.90/648.18
  6. Step 6: Final answer
    x = 923.26

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.