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Finding the Fourth Proportional to 648.11, 965.62 and 617.15

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Solution

The fourth proportional to 648.11, 965.62 and 617.15 is: 919.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    648.11 : 965.62 = 617.15 : x
  2. Step 2: Convert to fraction form
    648.11/965.62 = 617.15/x
  3. Step 3: Cross multiply
    648.11x = 965.62 × 617.15
  4. Step 4: Simplify right side
    648.11x = 595,932.38
  5. Step 5: Solve for x
    x = 595,932.38/648.11
  6. Step 6: Final answer
    x = 919.49

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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.