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Finding the Fourth Proportional to 643.09, 964.63 and 296.13

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Solution

The fourth proportional to 643.09, 964.63 and 296.13 is: 444.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    643.09 : 964.63 = 296.13 : x
  2. Step 2: Convert to fraction form
    643.09/964.63 = 296.13/x
  3. Step 3: Cross multiply
    643.09x = 964.63 × 296.13
  4. Step 4: Simplify right side
    643.09x = 285,655.88
  5. Step 5: Solve for x
    x = 285,655.88/643.09
  6. Step 6: Final answer
    x = 444.19

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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.