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Finding the Fourth Proportional to 785.20, 1,176.60 and 662.80

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Solution

The fourth proportional to 785.20, 1,176.60 and 662.80 is: 993.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    785.20 : 1,176.60 = 662.80 : x
  2. Step 2: Convert to fraction form
    785.20/1,176.60 = 662.80/x
  3. Step 3: Cross multiply
    785.20x = 1,176.60 × 662.80
  4. Step 4: Simplify right side
    785.20x = 779,850.48
  5. Step 5: Solve for x
    x = 779,850.48/785.20
  6. Step 6: Final answer
    x = 993.19

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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.