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Finding the Fourth Proportional to 1,187.62, 1,638.20 and 767.31

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Solution

The fourth proportional to 1,187.62, 1,638.20 and 767.31 is: 1,058.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,187.62 : 1,638.20 = 767.31 : x
  2. Step 2: Convert to fraction form
    1,187.62/1,638.20 = 767.31/x
  3. Step 3: Cross multiply
    1,187.62x = 1,638.20 × 767.31
  4. Step 4: Simplify right side
    1,187.62x = 1,257,007.24
  5. Step 5: Solve for x
    x = 1,257,007.24/1,187.62
  6. Step 6: Final answer
    x = 1,058.43

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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.