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Finding the Fourth Proportional to 643.87, 965.97 and 296.92

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Solution

The fourth proportional to 643.87, 965.97 and 296.92 is: 445.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    643.87 : 965.97 = 296.92 : x
  2. Step 2: Convert to fraction form
    643.87/965.97 = 296.92/x
  3. Step 3: Cross multiply
    643.87x = 965.97 × 296.92
  4. Step 4: Simplify right side
    643.87x = 286,815.81
  5. Step 5: Solve for x
    x = 286,815.81/643.87
  6. Step 6: Final answer
    x = 445.46

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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.