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Finding the Fourth Proportional to 1,191.53, 1,786.68 and 461.31

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Solution

The fourth proportional to 1,191.53, 1,786.68 and 461.31 is: 691.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,191.53 : 1,786.68 = 461.31 : x
  2. Step 2: Convert to fraction form
    1,191.53/1,786.68 = 461.31/x
  3. Step 3: Cross multiply
    1,191.53x = 1,786.68 × 461.31
  4. Step 4: Simplify right side
    1,191.53x = 824,213.35
  5. Step 5: Solve for x
    x = 824,213.35/1,191.53
  6. Step 6: Final answer
    x = 691.73

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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.