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Finding the Fourth Proportional to 1,338.62, 2,007.62 and 644.84

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Solution

The fourth proportional to 1,338.62, 2,007.62 and 644.84 is: 967.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,338.62 : 2,007.62 = 644.84 : x
  2. Step 2: Convert to fraction form
    1,338.62/2,007.62 = 644.84/x
  3. Step 3: Cross multiply
    1,338.62x = 2,007.62 × 644.84
  4. Step 4: Simplify right side
    1,338.62x = 1,294,593.68
  5. Step 5: Solve for x
    x = 1,294,593.68/1,338.62
  6. Step 6: Final answer
    x = 967.11

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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.