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Finding the Fourth Proportional to 1,330.40, 1,996.36 and 959.82

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Solution

The fourth proportional to 1,330.40, 1,996.36 and 959.82 is: 1,440.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,330.40 : 1,996.36 = 959.82 : x
  2. Step 2: Convert to fraction form
    1,330.40/1,996.36 = 959.82/x
  3. Step 3: Cross multiply
    1,330.40x = 1,996.36 × 959.82
  4. Step 4: Simplify right side
    1,330.40x = 1,916,146.26
  5. Step 5: Solve for x
    x = 1,916,146.26/1,330.40
  6. Step 6: Final answer
    x = 1,440.28

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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.