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Finding the Fourth Proportional to 1,008.73, 1,392.42 and 786.79

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Solution

The fourth proportional to 1,008.73, 1,392.42 and 786.79 is: 1,086.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,008.73 : 1,392.42 = 786.79 : x
  2. Step 2: Convert to fraction form
    1,008.73/1,392.42 = 786.79/x
  3. Step 3: Cross multiply
    1,008.73x = 1,392.42 × 786.79
  4. Step 4: Simplify right side
    1,008.73x = 1,095,542.13
  5. Step 5: Solve for x
    x = 1,095,542.13/1,008.73
  6. Step 6: Final answer
    x = 1,086.06

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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.