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Finding the Fourth Proportional to 1,338.67, 2,007.49 and 645.14

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Solution

The fourth proportional to 1,338.67, 2,007.49 and 645.14 is: 967.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,338.67 : 2,007.49 = 645.14 : x
  2. Step 2: Convert to fraction form
    1,338.67/2,007.49 = 645.14/x
  3. Step 3: Cross multiply
    1,338.67x = 2,007.49 × 645.14
  4. Step 4: Simplify right side
    1,338.67x = 1,295,112.10
  5. Step 5: Solve for x
    x = 1,295,112.10/1,338.67
  6. Step 6: Final answer
    x = 967.46

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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.