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Finding the Fourth Proportional to 818.28, 1,230.12 and 792.36

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Solution

The fourth proportional to 818.28, 1,230.12 and 792.36 is: 1,191.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    818.28 : 1,230.12 = 792.36 : x
  2. Step 2: Convert to fraction form
    818.28/1,230.12 = 792.36/x
  3. Step 3: Cross multiply
    818.28x = 1,230.12 × 792.36
  4. Step 4: Simplify right side
    818.28x = 974,697.88
  5. Step 5: Solve for x
    x = 974,697.88/818.28
  6. Step 6: Final answer
    x = 1,191.15

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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.