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Finding the Fourth Proportional to 1,288.69, 1,935.62 and 769.70

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Solution

The fourth proportional to 1,288.69, 1,935.62 and 769.70 is: 1,156.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,288.69 : 1,935.62 = 769.70 : x
  2. Step 2: Convert to fraction form
    1,288.69/1,935.62 = 769.70/x
  3. Step 3: Cross multiply
    1,288.69x = 1,935.62 × 769.70
  4. Step 4: Simplify right side
    1,288.69x = 1,489,846.71
  5. Step 5: Solve for x
    x = 1,489,846.71/1,288.69
  6. Step 6: Final answer
    x = 1,156.09

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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.