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Finding the Fourth Proportional to 1,206.51, 1,663.87 and 786.65

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Solution

The fourth proportional to 1,206.51, 1,663.87 and 786.65 is: 1,084.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,206.51 : 1,663.87 = 786.65 : x
  2. Step 2: Convert to fraction form
    1,206.51/1,663.87 = 786.65/x
  3. Step 3: Cross multiply
    1,206.51x = 1,663.87 × 786.65
  4. Step 4: Simplify right side
    1,206.51x = 1,308,879.33
  5. Step 5: Solve for x
    x = 1,308,879.33/1,206.51
  6. Step 6: Final answer
    x = 1,084.85

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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.