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Finding the Fourth Proportional to 1,189.83, 1,785.19 and 540.41

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Solution

The fourth proportional to 1,189.83, 1,785.19 and 540.41 is: 810.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,189.83 : 1,785.19 = 540.41 : x
  2. Step 2: Convert to fraction form
    1,189.83/1,785.19 = 540.41/x
  3. Step 3: Cross multiply
    1,189.83x = 1,785.19 × 540.41
  4. Step 4: Simplify right side
    1,189.83x = 964,734.53
  5. Step 5: Solve for x
    x = 964,734.53/1,189.83
  6. Step 6: Final answer
    x = 810.82

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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.