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Finding the Fourth Proportional to 1,191.40, 1,782.81 and 729.28

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Solution

The fourth proportional to 1,191.40, 1,782.81 and 729.28 is: 1,091.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,191.40 : 1,782.81 = 729.28 : x
  2. Step 2: Convert to fraction form
    1,191.40/1,782.81 = 729.28/x
  3. Step 3: Cross multiply
    1,191.40x = 1,782.81 × 729.28
  4. Step 4: Simplify right side
    1,191.40x = 1,300,167.68
  5. Step 5: Solve for x
    x = 1,300,167.68/1,191.40
  6. Step 6: Final answer
    x = 1,091.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.