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Finding the Fourth Proportional to 509.27, 762.84 and 422.40

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Solution

The fourth proportional to 509.27, 762.84 and 422.40 is: 632.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.27 : 762.84 = 422.40 : x
  2. Step 2: Convert to fraction form
    509.27/762.84 = 422.40/x
  3. Step 3: Cross multiply
    509.27x = 762.84 × 422.40
  4. Step 4: Simplify right side
    509.27x = 322,219.80
  5. Step 5: Solve for x
    x = 322,219.80/509.27
  6. Step 6: Final answer
    x = 632.71

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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.