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Finding the Fourth Proportional to 1,305.12, 1,956.42 and 726.78

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Solution

The fourth proportional to 1,305.12, 1,956.42 and 726.78 is: 1,089.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,305.12 : 1,956.42 = 726.78 : x
  2. Step 2: Convert to fraction form
    1,305.12/1,956.42 = 726.78/x
  3. Step 3: Cross multiply
    1,305.12x = 1,956.42 × 726.78
  4. Step 4: Simplify right side
    1,305.12x = 1,421,886.93
  5. Step 5: Solve for x
    x = 1,421,886.93/1,305.12
  6. Step 6: Final answer
    x = 1,089.47

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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.