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Finding the Fourth Proportional to 843.80, 1,256.29 and 843.80

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Solution

The fourth proportional to 843.80, 1,256.29 and 843.80 is: 1,256.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    843.80 : 1,256.29 = 843.80 : x
  2. Step 2: Convert to fraction form
    843.80/1,256.29 = 843.80/x
  3. Step 3: Cross multiply
    843.80x = 1,256.29 × 843.80
  4. Step 4: Simplify right side
    843.80x = 1,060,057.50
  5. Step 5: Solve for x
    x = 1,060,057.50/843.80
  6. Step 6: Final answer
    x = 1,256.29

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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.