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Finding the Fourth Proportional to 534.00, 799.44 and 431.49

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Solution

The fourth proportional to 534.00, 799.44 and 431.49 is: 645.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    534.00 : 799.44 = 431.49 : x
  2. Step 2: Convert to fraction form
    534.00/799.44 = 431.49/x
  3. Step 3: Cross multiply
    534.00x = 799.44 × 431.49
  4. Step 4: Simplify right side
    534.00x = 344,948.64
  5. Step 5: Solve for x
    x = 344,948.64/534.00
  6. Step 6: Final answer
    x = 645.97

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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.