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Finding the Fourth Proportional to 643.13, 962.51 and 412.18

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Solution

The fourth proportional to 643.13, 962.51 and 412.18 is: 616.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    643.13 : 962.51 = 412.18 : x
  2. Step 2: Convert to fraction form
    643.13/962.51 = 412.18/x
  3. Step 3: Cross multiply
    643.13x = 962.51 × 412.18
  4. Step 4: Simplify right side
    643.13x = 396,722.56
  5. Step 5: Solve for x
    x = 396,722.56/643.13
  6. Step 6: Final answer
    x = 616.86

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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.