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Finding the Fourth Proportional to 775.72, 1,164.26 and 450.64

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Solution

The fourth proportional to 775.72, 1,164.26 and 450.64 is: 676.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    775.72 : 1,164.26 = 450.64 : x
  2. Step 2: Convert to fraction form
    775.72/1,164.26 = 450.64/x
  3. Step 3: Cross multiply
    775.72x = 1,164.26 × 450.64
  4. Step 4: Simplify right side
    775.72x = 524,662.13
  5. Step 5: Solve for x
    x = 524,662.13/775.72
  6. Step 6: Final answer
    x = 676.36

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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.