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Finding the Fourth Proportional to 1,189.41, 1,784.21 and 311.91

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Solution

The fourth proportional to 1,189.41, 1,784.21 and 311.91 is: 467.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,189.41 : 1,784.21 = 311.91 : x
  2. Step 2: Convert to fraction form
    1,189.41/1,784.21 = 311.91/x
  3. Step 3: Cross multiply
    1,189.41x = 1,784.21 × 311.91
  4. Step 4: Simplify right side
    1,189.41x = 556,504.02
  5. Step 5: Solve for x
    x = 556,504.02/1,189.41
  6. Step 6: Final answer
    x = 467.88

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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.