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Finding the Fourth Proportional to 818.37, 1,229.58 and 785.97

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Solution

The fourth proportional to 818.37, 1,229.58 and 785.97 is: 1,180.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    818.37 : 1,229.58 = 785.97 : x
  2. Step 2: Convert to fraction form
    818.37/1,229.58 = 785.97/x
  3. Step 3: Cross multiply
    818.37x = 1,229.58 × 785.97
  4. Step 4: Simplify right side
    818.37x = 966,412.99
  5. Step 5: Solve for x
    x = 966,412.99/818.37
  6. Step 6: Final answer
    x = 1,180.90

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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.