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Finding the Fourth Proportional to 1,304.05, 1,956.10 and 438.37

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Solution

The fourth proportional to 1,304.05, 1,956.10 and 438.37 is: 657.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,304.05 : 1,956.10 = 438.37 : x
  2. Step 2: Convert to fraction form
    1,304.05/1,956.10 = 438.37/x
  3. Step 3: Cross multiply
    1,304.05x = 1,956.10 × 438.37
  4. Step 4: Simplify right side
    1,304.05x = 857,495.56
  5. Step 5: Solve for x
    x = 857,495.56/1,304.05
  6. Step 6: Final answer
    x = 657.56

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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.