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Finding the Fourth Proportional to 1,187.69, 1,638.61 and 768.57

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Solution

The fourth proportional to 1,187.69, 1,638.61 and 768.57 is: 1,060.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,187.69 : 1,638.61 = 768.57 : x
  2. Step 2: Convert to fraction form
    1,187.69/1,638.61 = 768.57/x
  3. Step 3: Cross multiply
    1,187.69x = 1,638.61 × 768.57
  4. Step 4: Simplify right side
    1,187.69x = 1,259,393.86
  5. Step 5: Solve for x
    x = 1,259,393.86/1,187.69
  6. Step 6: Final answer
    x = 1,060.37

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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.