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Finding the Fourth Proportional to 643.22, 964.05 and 296.07

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Solution

The fourth proportional to 643.22, 964.05 and 296.07 is: 443.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    643.22 : 964.05 = 296.07 : x
  2. Step 2: Convert to fraction form
    643.22/964.05 = 296.07/x
  3. Step 3: Cross multiply
    643.22x = 964.05 × 296.07
  4. Step 4: Simplify right side
    643.22x = 285,428.69
  5. Step 5: Solve for x
    x = 285,428.69/643.22
  6. Step 6: Final answer
    x = 443.75

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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.