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Finding the Fourth Proportional to 891.38, 1,335.59 and 543.66

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Solution

The fourth proportional to 891.38, 1,335.59 and 543.66 is: 814.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    891.38 : 1,335.59 = 543.66 : x
  2. Step 2: Convert to fraction form
    891.38/1,335.59 = 543.66/x
  3. Step 3: Cross multiply
    891.38x = 1,335.59 × 543.66
  4. Step 4: Simplify right side
    891.38x = 726,104.14
  5. Step 5: Solve for x
    x = 726,104.14/891.38
  6. Step 6: Final answer
    x = 814.59

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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.