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Finding the Fourth Proportional to 1,304.52, 1,956.30 and 438.63

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Solution

The fourth proportional to 1,304.52, 1,956.30 and 438.63 is: 657.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,304.52 : 1,956.30 = 438.63 : x
  2. Step 2: Convert to fraction form
    1,304.52/1,956.30 = 438.63/x
  3. Step 3: Cross multiply
    1,304.52x = 1,956.30 × 438.63
  4. Step 4: Simplify right side
    1,304.52x = 858,091.87
  5. Step 5: Solve for x
    x = 858,091.87/1,304.52
  6. Step 6: Final answer
    x = 657.78

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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.