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Finding the Fourth Proportional to 509.38, 762.74 and 354.84

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Solution

The fourth proportional to 509.38, 762.74 and 354.84 is: 531.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.38 : 762.74 = 354.84 : x
  2. Step 2: Convert to fraction form
    509.38/762.74 = 354.84/x
  3. Step 3: Cross multiply
    509.38x = 762.74 × 354.84
  4. Step 4: Simplify right side
    509.38x = 270,650.66
  5. Step 5: Solve for x
    x = 270,650.66/509.38
  6. Step 6: Final answer
    x = 531.33

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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.