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Finding the Fourth Proportional to 776.26, 1,169.73 and 642.31

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Solution

The fourth proportional to 776.26, 1,169.73 and 642.31 is: 967.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    776.26 : 1,169.73 = 642.31 : x
  2. Step 2: Convert to fraction form
    776.26/1,169.73 = 642.31/x
  3. Step 3: Cross multiply
    776.26x = 1,169.73 × 642.31
  4. Step 4: Simplify right side
    776.26x = 751,326.06
  5. Step 5: Solve for x
    x = 751,326.06/776.26
  6. Step 6: Final answer
    x = 967.88

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.