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Finding the Fourth Proportional to 775.94, 1,164.44 and 516.24

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Solution

The fourth proportional to 775.94, 1,164.44 and 516.24 is: 774.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    775.94 : 1,164.44 = 516.24 : x
  2. Step 2: Convert to fraction form
    775.94/1,164.44 = 516.24/x
  3. Step 3: Cross multiply
    775.94x = 1,164.44 × 516.24
  4. Step 4: Simplify right side
    775.94x = 601,130.51
  5. Step 5: Solve for x
    x = 601,130.51/775.94
  6. Step 6: Final answer
    x = 774.71

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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.