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Finding the Fourth Proportional to 775.99, 1,162.09 and 748.05

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Solution

The fourth proportional to 775.99, 1,162.09 and 748.05 is: 1,120.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    775.99 : 1,162.09 = 748.05 : x
  2. Step 2: Convert to fraction form
    775.99/1,162.09 = 748.05/x
  3. Step 3: Cross multiply
    775.99x = 1,162.09 × 748.05
  4. Step 4: Simplify right side
    775.99x = 869,301.42
  5. Step 5: Solve for x
    x = 869,301.42/775.99
  6. Step 6: Final answer
    x = 1,120.25

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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.