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Finding the Fourth Proportional to 648.40, 967.36 and 617.48

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Solution

The fourth proportional to 648.40, 967.36 and 617.48 is: 921.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    648.40 : 967.36 = 617.48 : x
  2. Step 2: Convert to fraction form
    648.40/967.36 = 617.48/x
  3. Step 3: Cross multiply
    648.40x = 967.36 × 617.48
  4. Step 4: Simplify right side
    648.40x = 597,325.45
  5. Step 5: Solve for x
    x = 597,325.45/648.40
  6. Step 6: Final answer
    x = 921.23

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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.