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Finding the Fourth Proportional to 843.17, 1,264.29 and 453.63

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Solution

The fourth proportional to 843.17, 1,264.29 and 453.63 is: 680.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    843.17 : 1,264.29 = 453.63 : x
  2. Step 2: Convert to fraction form
    843.17/1,264.29 = 453.63/x
  3. Step 3: Cross multiply
    843.17x = 1,264.29 × 453.63
  4. Step 4: Simplify right side
    843.17x = 573,519.87
  5. Step 5: Solve for x
    x = 573,519.87/843.17
  6. Step 6: Final answer
    x = 680.20

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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.