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Finding the Fourth Proportional to 891.27, 1,335.29 and 543.65

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Solution

The fourth proportional to 891.27, 1,335.29 and 543.65 is: 814.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    891.27 : 1,335.29 = 543.65 : x
  2. Step 2: Convert to fraction form
    891.27/1,335.29 = 543.65/x
  3. Step 3: Cross multiply
    891.27x = 1,335.29 × 543.65
  4. Step 4: Simplify right side
    891.27x = 725,921.01
  5. Step 5: Solve for x
    x = 725,921.01/891.27
  6. Step 6: Final answer
    x = 814.48

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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.