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Finding the Fourth Proportional to 843.09, 1,162.89 and 493.77

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Solution

The fourth proportional to 843.09, 1,162.89 and 493.77 is: 681.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    843.09 : 1,162.89 = 493.77 : x
  2. Step 2: Convert to fraction form
    843.09/1,162.89 = 493.77/x
  3. Step 3: Cross multiply
    843.09x = 1,162.89 × 493.77
  4. Step 4: Simplify right side
    843.09x = 574,200.20
  5. Step 5: Solve for x
    x = 574,200.20/843.09
  6. Step 6: Final answer
    x = 681.07

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.