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Finding the Fourth Proportional to 1,282.71, 1,769.81 and 758.51

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Solution

The fourth proportional to 1,282.71, 1,769.81 and 758.51 is: 1,046.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,282.71 : 1,769.81 = 758.51 : x
  2. Step 2: Convert to fraction form
    1,282.71/1,769.81 = 758.51/x
  3. Step 3: Cross multiply
    1,282.71x = 1,769.81 × 758.51
  4. Step 4: Simplify right side
    1,282.71x = 1,342,405.94
  5. Step 5: Solve for x
    x = 1,342,405.94/1,282.71
  6. Step 6: Final answer
    x = 1,046.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.