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Finding the Fourth Proportional to 1,338.51, 2,007.16 and 516.23

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Solution

The fourth proportional to 1,338.51, 2,007.16 and 516.23 is: 774.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,338.51 : 2,007.16 = 516.23 : x
  2. Step 2: Convert to fraction form
    1,338.51/2,007.16 = 516.23/x
  3. Step 3: Cross multiply
    1,338.51x = 2,007.16 × 516.23
  4. Step 4: Simplify right side
    1,338.51x = 1,036,156.21
  5. Step 5: Solve for x
    x = 1,036,156.21/1,338.51
  6. Step 6: Final answer
    x = 774.11

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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.