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Finding the Fourth Proportional to 1,187.66, 1,638.73 and 794.41

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Solution

The fourth proportional to 1,187.66, 1,638.73 and 794.41 is: 1,096.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,187.66 : 1,638.73 = 794.41 : x
  2. Step 2: Convert to fraction form
    1,187.66/1,638.73 = 794.41/x
  3. Step 3: Cross multiply
    1,187.66x = 1,638.73 × 794.41
  4. Step 4: Simplify right side
    1,187.66x = 1,301,820.40
  5. Step 5: Solve for x
    x = 1,301,820.40/1,187.66
  6. Step 6: Final answer
    x = 1,096.12

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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.