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Finding the Fourth Proportional to 534.24, 799.68 and 389.28

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Solution

The fourth proportional to 534.24, 799.68 and 389.28 is: 582.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    534.24 : 799.68 = 389.28 : x
  2. Step 2: Convert to fraction form
    534.24/799.68 = 389.28/x
  3. Step 3: Cross multiply
    534.24x = 799.68 × 389.28
  4. Step 4: Simplify right side
    534.24x = 311,299.43
  5. Step 5: Solve for x
    x = 311,299.43/534.24
  6. Step 6: Final answer
    x = 582.70

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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.