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Finding the Fourth Proportional to 757.20, 1,137.36 and 622.16

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Solution

The fourth proportional to 757.20, 1,137.36 and 622.16 is: 934.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    757.20 : 1,137.36 = 622.16 : x
  2. Step 2: Convert to fraction form
    757.20/1,137.36 = 622.16/x
  3. Step 3: Cross multiply
    757.20x = 1,137.36 × 622.16
  4. Step 4: Simplify right side
    757.20x = 707,619.90
  5. Step 5: Solve for x
    x = 707,619.90/757.20
  6. Step 6: Final answer
    x = 934.52

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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.