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Finding the Fourth Proportional to 1,189.82, 1,784.97 and 420.86

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Solution

The fourth proportional to 1,189.82, 1,784.97 and 420.86 is: 631.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,189.82 : 1,784.97 = 420.86 : x
  2. Step 2: Convert to fraction form
    1,189.82/1,784.97 = 420.86/x
  3. Step 3: Cross multiply
    1,189.82x = 1,784.97 × 420.86
  4. Step 4: Simplify right side
    1,189.82x = 751,222.47
  5. Step 5: Solve for x
    x = 751,222.47/1,189.82
  6. Step 6: Final answer
    x = 631.37

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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.