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Finding the Fourth Proportional to 1,304.52, 1,956.80 and 380.09

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Solution

The fourth proportional to 1,304.52, 1,956.80 and 380.09 is: 570.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,304.52 : 1,956.80 = 380.09 : x
  2. Step 2: Convert to fraction form
    1,304.52/1,956.80 = 380.09/x
  3. Step 3: Cross multiply
    1,304.52x = 1,956.80 × 380.09
  4. Step 4: Simplify right side
    1,304.52x = 743,748.43
  5. Step 5: Solve for x
    x = 743,748.43/1,304.52
  6. Step 6: Final answer
    x = 570.13

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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.