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Finding the Fourth Proportional to 1,189.51, 1,784.05 and 540.09

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Solution

The fourth proportional to 1,189.51, 1,784.05 and 540.09 is: 810.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,189.51 : 1,784.05 = 540.09 : x
  2. Step 2: Convert to fraction form
    1,189.51/1,784.05 = 540.09/x
  3. Step 3: Cross multiply
    1,189.51x = 1,784.05 × 540.09
  4. Step 4: Simplify right side
    1,189.51x = 963,546.21
  5. Step 5: Solve for x
    x = 963,546.21/1,189.51
  6. Step 6: Final answer
    x = 810.04

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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.