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Finding the Fourth Proportional to 509.09, 762.56 and 422.21

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Solution

The fourth proportional to 509.09, 762.56 and 422.21 is: 632.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.09 : 762.56 = 422.21 : x
  2. Step 2: Convert to fraction form
    509.09/762.56 = 422.21/x
  3. Step 3: Cross multiply
    509.09x = 762.56 × 422.21
  4. Step 4: Simplify right side
    509.09x = 321,960.25
  5. Step 5: Solve for x
    x = 321,960.25/509.09
  6. Step 6: Final answer
    x = 632.43

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1.5x scale

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.