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Finding the Fourth Proportional to 1,189.48, 1,641.22 and 910.03

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Solution

The fourth proportional to 1,189.48, 1,641.22 and 910.03 is: 1,255.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,189.48 : 1,641.22 = 910.03 : x
  2. Step 2: Convert to fraction form
    1,189.48/1,641.22 = 910.03/x
  3. Step 3: Cross multiply
    1,189.48x = 1,641.22 × 910.03
  4. Step 4: Simplify right side
    1,189.48x = 1,493,559.44
  5. Step 5: Solve for x
    x = 1,493,559.44/1,189.48
  6. Step 6: Final answer
    x = 1,255.64

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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.