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Finding the Fourth Proportional to 643.08, 964.42 and 412.23

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Solution

The fourth proportional to 643.08, 964.42 and 412.23 is: 618.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    643.08 : 964.42 = 412.23 : x
  2. Step 2: Convert to fraction form
    643.08/964.42 = 412.23/x
  3. Step 3: Cross multiply
    643.08x = 964.42 × 412.23
  4. Step 4: Simplify right side
    643.08x = 397,561.83
  5. Step 5: Solve for x
    x = 397,561.83/643.08
  6. Step 6: Final answer
    x = 618.22

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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.