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Finding the Fourth Proportional to 843.68, 1,164.16 and 512

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Solution

The fourth proportional to 843.68, 1,164.16 and 512 is: 706.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    843.68 : 1,164.16 = 512 : x
  2. Step 2: Convert to fraction form
    843.68/1,164.16 = 512/x
  3. Step 3: Cross multiply
    843.68x = 1,164.16 × 512
  4. Step 4: Simplify right side
    843.68x = 596,049.92
  5. Step 5: Solve for x
    x = 596,049.92/843.68
  6. Step 6: Final answer
    x = 706.49

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.