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Finding the Fourth Proportional to 1,164.41, 1,606.97 and 861.88

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Solution

The fourth proportional to 1,164.41, 1,606.97 and 861.88 is: 1,189.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,164.41 : 1,606.97 = 861.88 : x
  2. Step 2: Convert to fraction form
    1,164.41/1,606.97 = 861.88/x
  3. Step 3: Cross multiply
    1,164.41x = 1,606.97 × 861.88
  4. Step 4: Simplify right side
    1,164.41x = 1,385,015.30
  5. Step 5: Solve for x
    x = 1,385,015.30/1,164.41
  6. Step 6: Final answer
    x = 1,189.46

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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.