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Finding the Fourth Proportional to 814, 1,123.38 and 464.80

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Solution

The fourth proportional to 814, 1,123.38 and 464.80 is: 641.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    814 : 1,123.38 = 464.80 : x
  2. Step 2: Convert to fraction form
    814/1,123.38 = 464.80/x
  3. Step 3: Cross multiply
    814x = 1,123.38 × 464.80
  4. Step 4: Simplify right side
    814x = 522,147.02
  5. Step 5: Solve for x
    x = 522,147.02/814
  6. Step 6: Final answer
    x = 641.46

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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.