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Finding the Fourth Proportional to 908.74, 1,367.22 and 543.80

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Solution

The fourth proportional to 908.74, 1,367.22 and 543.80 is: 818.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    908.74 : 1,367.22 = 543.80 : x
  2. Step 2: Convert to fraction form
    908.74/1,367.22 = 543.80/x
  3. Step 3: Cross multiply
    908.74x = 1,367.22 × 543.80
  4. Step 4: Simplify right side
    908.74x = 743,494.24
  5. Step 5: Solve for x
    x = 743,494.24/908.74
  6. Step 6: Final answer
    x = 818.16

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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.