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Finding the Fourth Proportional to 818.08, 1,227.72 and 452.84

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Solution

The fourth proportional to 818.08, 1,227.72 and 452.84 is: 679.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    818.08 : 1,227.72 = 452.84 : x
  2. Step 2: Convert to fraction form
    818.08/1,227.72 = 452.84/x
  3. Step 3: Cross multiply
    818.08x = 1,227.72 × 452.84
  4. Step 4: Simplify right side
    818.08x = 555,960.72
  5. Step 5: Solve for x
    x = 555,960.72/818.08
  6. Step 6: Final answer
    x = 679.59

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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.