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Finding the Fourth Proportional to 1,296.43, 1,944.64 and 776.59

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Solution

The fourth proportional to 1,296.43, 1,944.64 and 776.59 is: 1,164.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,296.43 : 1,944.64 = 776.59 : x
  2. Step 2: Convert to fraction form
    1,296.43/1,944.64 = 776.59/x
  3. Step 3: Cross multiply
    1,296.43x = 1,944.64 × 776.59
  4. Step 4: Simplify right side
    1,296.43x = 1,510,184.09
  5. Step 5: Solve for x
    x = 1,510,184.09/1,296.43
  6. Step 6: Final answer
    x = 1,164.88

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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.