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Finding the Fourth Proportional to 843.86, 1,164.78 and 512.43

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Solution

The fourth proportional to 843.86, 1,164.78 and 512.43 is: 707.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    843.86 : 1,164.78 = 512.43 : x
  2. Step 2: Convert to fraction form
    843.86/1,164.78 = 512.43/x
  3. Step 3: Cross multiply
    843.86x = 1,164.78 × 512.43
  4. Step 4: Simplify right side
    843.86x = 596,868.22
  5. Step 5: Solve for x
    x = 596,868.22/843.86
  6. Step 6: Final answer
    x = 707.31

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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.