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Finding the Fourth Proportional to 648.36, 965.99 and 617.40

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Solution

The fourth proportional to 648.36, 965.99 and 617.40 is: 919.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    648.36 : 965.99 = 617.40 : x
  2. Step 2: Convert to fraction form
    648.36/965.99 = 617.40/x
  3. Step 3: Cross multiply
    648.36x = 965.99 × 617.40
  4. Step 4: Simplify right side
    648.36x = 596,403.77
  5. Step 5: Solve for x
    x = 596,403.77/648.36
  6. Step 6: Final answer
    x = 919.87

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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.