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Finding the Fourth Proportional to 891.43, 1,335.43 and 543.73

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Solution

The fourth proportional to 891.43, 1,335.43 and 543.73 is: 814.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    891.43 : 1,335.43 = 543.73 : x
  2. Step 2: Convert to fraction form
    891.43/1,335.43 = 543.73/x
  3. Step 3: Cross multiply
    891.43x = 1,335.43 × 543.73
  4. Step 4: Simplify right side
    891.43x = 726,113.20
  5. Step 5: Solve for x
    x = 726,113.20/891.43
  6. Step 6: Final answer
    x = 814.55

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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.