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Finding the Fourth Proportional to 509.33, 763.44 and 422.15

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Solution

The fourth proportional to 509.33, 763.44 and 422.15 is: 632.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.33 : 763.44 = 422.15 : x
  2. Step 2: Convert to fraction form
    509.33/763.44 = 422.15/x
  3. Step 3: Cross multiply
    509.33x = 763.44 × 422.15
  4. Step 4: Simplify right side
    509.33x = 322,282.38
  5. Step 5: Solve for x
    x = 322,282.38/509.33
  6. Step 6: Final answer
    x = 632.76

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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.