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Finding the Fourth Proportional to 1,330.49, 1,996.41 and 1,007.84

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Solution

The fourth proportional to 1,330.49, 1,996.41 and 1,007.84 is: 1,512.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,330.49 : 1,996.41 = 1,007.84 : x
  2. Step 2: Convert to fraction form
    1,330.49/1,996.41 = 1,007.84/x
  3. Step 3: Cross multiply
    1,330.49x = 1,996.41 × 1,007.84
  4. Step 4: Simplify right side
    1,330.49x = 2,012,051.87
  5. Step 5: Solve for x
    x = 2,012,051.87/1,330.49
  6. Step 6: Final answer
    x = 1,512.27

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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.