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Finding the Fourth Proportional to 643.23, 964.09 and 296.59

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Solution

The fourth proportional to 643.23, 964.09 and 296.59 is: 444.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    643.23 : 964.09 = 296.59 : x
  2. Step 2: Convert to fraction form
    643.23/964.09 = 296.59/x
  3. Step 3: Cross multiply
    643.23x = 964.09 × 296.59
  4. Step 4: Simplify right side
    643.23x = 285,939.45
  5. Step 5: Solve for x
    x = 285,939.45/643.23
  6. Step 6: Final answer
    x = 444.54

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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.