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Finding the Fourth Proportional to 775.30, 1,162.02 and 688.80

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Solution

The fourth proportional to 775.30, 1,162.02 and 688.80 is: 1,032.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    775.30 : 1,162.02 = 688.80 : x
  2. Step 2: Convert to fraction form
    775.30/1,162.02 = 688.80/x
  3. Step 3: Cross multiply
    775.30x = 1,162.02 × 688.80
  4. Step 4: Simplify right side
    775.30x = 800,399.38
  5. Step 5: Solve for x
    x = 800,399.38/775.30
  6. Step 6: Final answer
    x = 1,032.37

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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.