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Finding the Fourth Proportional to 757.80, 1,138.83 and 450.24

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Solution

The fourth proportional to 757.80, 1,138.83 and 450.24 is: 676.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    757.80 : 1,138.83 = 450.24 : x
  2. Step 2: Convert to fraction form
    757.80/1,138.83 = 450.24/x
  3. Step 3: Cross multiply
    757.80x = 1,138.83 × 450.24
  4. Step 4: Simplify right side
    757.80x = 512,746.82
  5. Step 5: Solve for x
    x = 512,746.82/757.80
  6. Step 6: Final answer
    x = 676.63

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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.