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Finding the Fourth Proportional to 814.90, 1,123.94 and 499.82

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Solution

The fourth proportional to 814.90, 1,123.94 and 499.82 is: 689.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    814.90 : 1,123.94 = 499.82 : x
  2. Step 2: Convert to fraction form
    814.90/1,123.94 = 499.82/x
  3. Step 3: Cross multiply
    814.90x = 1,123.94 × 499.82
  4. Step 4: Simplify right side
    814.90x = 561,767.69
  5. Step 5: Solve for x
    x = 561,767.69/814.90
  6. Step 6: Final answer
    x = 689.37

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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.