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Finding the Fourth Proportional to 775.79, 1,162.56 and 450.44

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Solution

The fourth proportional to 775.79, 1,162.56 and 450.44 is: 675.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    775.79 : 1,162.56 = 450.44 : x
  2. Step 2: Convert to fraction form
    775.79/1,162.56 = 450.44/x
  3. Step 3: Cross multiply
    775.79x = 1,162.56 × 450.44
  4. Step 4: Simplify right side
    775.79x = 523,663.53
  5. Step 5: Solve for x
    x = 523,663.53/775.79
  6. Step 6: Final answer
    x = 675.01

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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.