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Finding the Fourth Proportional to 1,309.71, 1,956.64 and 843.69

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Solution

The fourth proportional to 1,309.71, 1,956.64 and 843.69 is: 1,260.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,309.71 : 1,956.64 = 843.69 : x
  2. Step 2: Convert to fraction form
    1,309.71/1,956.64 = 843.69/x
  3. Step 3: Cross multiply
    1,309.71x = 1,956.64 × 843.69
  4. Step 4: Simplify right side
    1,309.71x = 1,650,783.60
  5. Step 5: Solve for x
    x = 1,650,783.60/1,309.71
  6. Step 6: Final answer
    x = 1,260.42

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.