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Finding the Fourth Proportional to 654.33, 982.37 and 643.39

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Solution

The fourth proportional to 654.33, 982.37 and 643.39 is: 965.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    654.33 : 982.37 = 643.39 : x
  2. Step 2: Convert to fraction form
    654.33/982.37 = 643.39/x
  3. Step 3: Cross multiply
    654.33x = 982.37 × 643.39
  4. Step 4: Simplify right side
    654.33x = 632,047.03
  5. Step 5: Solve for x
    x = 632,047.03/654.33
  6. Step 6: Final answer
    x = 965.95

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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.