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Finding the Fourth Proportional to 1,338.80, 2,008.04 and 516.99

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Solution

The fourth proportional to 1,338.80, 2,008.04 and 516.99 is: 775.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,338.80 : 2,008.04 = 516.99 : x
  2. Step 2: Convert to fraction form
    1,338.80/2,008.04 = 516.99/x
  3. Step 3: Cross multiply
    1,338.80x = 2,008.04 × 516.99
  4. Step 4: Simplify right side
    1,338.80x = 1,038,134.01
  5. Step 5: Solve for x
    x = 1,038,134.01/1,338.80
  6. Step 6: Final answer
    x = 775.42

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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.