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Finding the Fourth Proportional to 2,956.40, 4,434.59 and 764.95

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Solution

The fourth proportional to 2,956.40, 4,434.59 and 764.95 is: 1,147.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,956.40 : 4,434.59 = 764.95 : x
  2. Step 2: Convert to fraction form
    2,956.40/4,434.59 = 764.95/x
  3. Step 3: Cross multiply
    2,956.40x = 4,434.59 × 764.95
  4. Step 4: Simplify right side
    2,956.40x = 3,392,239.62
  5. Step 5: Solve for x
    x = 3,392,239.62/2,956.40
  6. Step 6: Final answer
    x = 1,147.42

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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.