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Finding the Fourth Proportional to 818.37, 1,227.06 and 355.91

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Solution

The fourth proportional to 818.37, 1,227.06 and 355.91 is: 533.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    818.37 : 1,227.06 = 355.91 : x
  2. Step 2: Convert to fraction form
    818.37/1,227.06 = 355.91/x
  3. Step 3: Cross multiply
    818.37x = 1,227.06 × 355.91
  4. Step 4: Simplify right side
    818.37x = 436,716.79
  5. Step 5: Solve for x
    x = 436,716.79/818.37
  6. Step 6: Final answer
    x = 533.64

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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.