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Finding the Fourth Proportional to 757.92, 1,137.78 and 621.20

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Solution

The fourth proportional to 757.92, 1,137.78 and 621.20 is: 932.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    757.92 : 1,137.78 = 621.20 : x
  2. Step 2: Convert to fraction form
    757.92/1,137.78 = 621.20/x
  3. Step 3: Cross multiply
    757.92x = 1,137.78 × 621.20
  4. Step 4: Simplify right side
    757.92x = 706,788.94
  5. Step 5: Solve for x
    x = 706,788.94/757.92
  6. Step 6: Final answer
    x = 932.54

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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.