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Finding the Fourth Proportional to 1,304.24, 1,956.42 and 330.35

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Solution

The fourth proportional to 1,304.24, 1,956.42 and 330.35 is: 495.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,304.24 : 1,956.42 = 330.35 : x
  2. Step 2: Convert to fraction form
    1,304.24/1,956.42 = 330.35/x
  3. Step 3: Cross multiply
    1,304.24x = 1,956.42 × 330.35
  4. Step 4: Simplify right side
    1,304.24x = 646,293.56
  5. Step 5: Solve for x
    x = 646,293.56/1,304.24
  6. Step 6: Final answer
    x = 495.53

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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.