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Finding the Fourth Proportional to 643.92, 960.39 and 589.26

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Solution

The fourth proportional to 643.92, 960.39 and 589.26 is: 878.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    643.92 : 960.39 = 589.26 : x
  2. Step 2: Convert to fraction form
    643.92/960.39 = 589.26/x
  3. Step 3: Cross multiply
    643.92x = 960.39 × 589.26
  4. Step 4: Simplify right side
    643.92x = 565,919.41
  5. Step 5: Solve for x
    x = 565,919.41/643.92
  6. Step 6: Final answer
    x = 878.87

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.