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Finding the Fourth Proportional to 1,187.67, 1,638.58 and 768.55

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Solution

The fourth proportional to 1,187.67, 1,638.58 and 768.55 is: 1,060.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,187.67 : 1,638.58 = 768.55 : x
  2. Step 2: Convert to fraction form
    1,187.67/1,638.58 = 768.55/x
  3. Step 3: Cross multiply
    1,187.67x = 1,638.58 × 768.55
  4. Step 4: Simplify right side
    1,187.67x = 1,259,330.78
  5. Step 5: Solve for x
    x = 1,259,330.78/1,187.67
  6. Step 6: Final answer
    x = 1,060.34

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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.