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Finding the Fourth Proportional to 534.65, 736.96 and 422.43

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Solution

The fourth proportional to 534.65, 736.96 and 422.43 is: 582.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    534.65 : 736.96 = 422.43 : x
  2. Step 2: Convert to fraction form
    534.65/736.96 = 422.43/x
  3. Step 3: Cross multiply
    534.65x = 736.96 × 422.43
  4. Step 4: Simplify right side
    534.65x = 311,314.01
  5. Step 5: Solve for x
    x = 311,314.01/534.65
  6. Step 6: Final answer
    x = 582.28

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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.