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Finding the Fourth Proportional to 643.10, 965.77 and 610.25

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Solution

The fourth proportional to 643.10, 965.77 and 610.25 is: 916.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    643.10 : 965.77 = 610.25 : x
  2. Step 2: Convert to fraction form
    643.10/965.77 = 610.25/x
  3. Step 3: Cross multiply
    643.10x = 965.77 × 610.25
  4. Step 4: Simplify right side
    643.10x = 589,361.14
  5. Step 5: Solve for x
    x = 589,361.14/643.10
  6. Step 6: Final answer
    x = 916.44

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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.