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Finding the Fourth Proportional to 814.23, 1,123.77 and 605.79

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Solution

The fourth proportional to 814.23, 1,123.77 and 605.79 is: 836.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    814.23 : 1,123.77 = 605.79 : x
  2. Step 2: Convert to fraction form
    814.23/1,123.77 = 605.79/x
  3. Step 3: Cross multiply
    814.23x = 1,123.77 × 605.79
  4. Step 4: Simplify right side
    814.23x = 680,768.63
  5. Step 5: Solve for x
    x = 680,768.63/814.23
  6. Step 6: Final answer
    x = 836.09

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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.