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Finding the Fourth Proportional to 1,189.13, 1,782.72 and 448.31

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Solution

The fourth proportional to 1,189.13, 1,782.72 and 448.31 is: 672.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,189.13 : 1,782.72 = 448.31 : x
  2. Step 2: Convert to fraction form
    1,189.13/1,782.72 = 448.31/x
  3. Step 3: Cross multiply
    1,189.13x = 1,782.72 × 448.31
  4. Step 4: Simplify right side
    1,189.13x = 799,202.29
  5. Step 5: Solve for x
    x = 799,202.29/1,189.13
  6. Step 6: Final answer
    x = 672.09

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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.